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Finding the Fourth Proportional to 7,561.68, 10,432.30 and 5,577

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Solution

The fourth proportional to 7,561.68, 10,432.30 and 5,577 is: 7,694.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.68 : 10,432.30 = 5,577 : x
  2. Step 2: Convert to fraction form
    7,561.68/10,432.30 = 5,577/x
  3. Step 3: Cross multiply
    7,561.68x = 10,432.30 × 5,577
  4. Step 4: Simplify right side
    7,561.68x = 58,180,937.10
  5. Step 5: Solve for x
    x = 58,180,937.10/7,561.68
  6. Step 6: Final answer
    x = 7,694.18

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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.