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Finding the Fourth Proportional to 10,807.28, 14,904.12 and 6,821.48

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Solution

The fourth proportional to 10,807.28, 14,904.12 and 6,821.48 is: 9,407.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.28 : 14,904.12 = 6,821.48 : x
  2. Step 2: Convert to fraction form
    10,807.28/14,904.12 = 6,821.48/x
  3. Step 3: Cross multiply
    10,807.28x = 14,904.12 × 6,821.48
  4. Step 4: Simplify right side
    10,807.28x = 101,668,156.50
  5. Step 5: Solve for x
    x = 101,668,156.50/10,807.28
  6. Step 6: Final answer
    x = 9,407.38

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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.