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Finding the Fourth Proportional to 10,754,646.40, 14,842,457.92 and 8,033,668.48

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Solution

The fourth proportional to 10,754,646.40, 14,842,457.92 and 8,033,668.48 is: 11,087,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754,646.40 : 14,842,457.92 = 8,033,668.48 : x
  2. Step 2: Convert to fraction form
    10,754,646.40/14,842,457.92 = 8,033,668.48/x
  3. Step 3: Cross multiply
    10,754,646.40x = 14,842,457.92 × 8,033,668.48
  4. Step 4: Simplify right side
    10,754,646.40x = 119,239,386,357,630.38
  5. Step 5: Solve for x
    x = 119,239,386,357,630.38/10,754,646.40
  6. Step 6: Final answer
    x = 11,087,243.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.