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Finding the Fourth Proportional to 11,057.67, 15,265.32 and 8,534.28

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Solution

The fourth proportional to 11,057.67, 15,265.32 and 8,534.28 is: 11,781.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057.67 : 15,265.32 = 8,534.28 : x
  2. Step 2: Convert to fraction form
    11,057.67/15,265.32 = 8,534.28/x
  3. Step 3: Cross multiply
    11,057.67x = 15,265.32 × 8,534.28
  4. Step 4: Simplify right side
    11,057.67x = 130,278,515.17
  5. Step 5: Solve for x
    x = 130,278,515.17/11,057.67
  6. Step 6: Final answer
    x = 11,781.73

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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.