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Finding the Fourth Proportional to 7,591.85, 10,478.01 and 5,608.16

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Solution

The fourth proportional to 7,591.85, 10,478.01 and 5,608.16 is: 7,740.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.85 : 10,478.01 = 5,608.16 : x
  2. Step 2: Convert to fraction form
    7,591.85/10,478.01 = 5,608.16/x
  3. Step 3: Cross multiply
    7,591.85x = 10,478.01 × 5,608.16
  4. Step 4: Simplify right side
    7,591.85x = 58,762,304.17
  5. Step 5: Solve for x
    x = 58,762,304.17/7,591.85
  6. Step 6: Final answer
    x = 7,740.19

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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.