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Finding the Fourth Proportional to 10,039.32, 13,849.92 and 7,057.13

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Solution

The fourth proportional to 10,039.32, 13,849.92 and 7,057.13 is: 9,735.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.32 : 13,849.92 = 7,057.13 : x
  2. Step 2: Convert to fraction form
    10,039.32/13,849.92 = 7,057.13/x
  3. Step 3: Cross multiply
    10,039.32x = 13,849.92 × 7,057.13
  4. Step 4: Simplify right side
    10,039.32x = 97,740,616.68
  5. Step 5: Solve for x
    x = 97,740,616.68/10,039.32
  6. Step 6: Final answer
    x = 9,735.78

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