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Finding the Fourth Proportional to 8,577.69, 11,839.17 and 5,588.31

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Solution

The fourth proportional to 8,577.69, 11,839.17 and 5,588.31 is: 7,713.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.69 : 11,839.17 = 5,588.31 : x
  2. Step 2: Convert to fraction form
    8,577.69/11,839.17 = 5,588.31/x
  3. Step 3: Cross multiply
    8,577.69x = 11,839.17 × 5,588.31
  4. Step 4: Simplify right side
    8,577.69x = 66,160,952.10
  5. Step 5: Solve for x
    x = 66,160,952.10/8,577.69
  6. Step 6: Final answer
    x = 7,713.14

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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.