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Finding the Fourth Proportional to 11,668.50, 17,459.01 and 7,265.34

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Solution

The fourth proportional to 11,668.50, 17,459.01 and 7,265.34 is: 10,870.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.50 : 17,459.01 = 7,265.34 : x
  2. Step 2: Convert to fraction form
    11,668.50/17,459.01 = 7,265.34/x
  3. Step 3: Cross multiply
    11,668.50x = 17,459.01 × 7,265.34
  4. Step 4: Simplify right side
    11,668.50x = 126,845,643.71
  5. Step 5: Solve for x
    x = 126,845,643.71/11,668.50
  6. Step 6: Final answer
    x = 10,870.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.