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Finding the Fourth Proportional to 7,564.97, 10,432.49 and 4,539.62

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Solution

The fourth proportional to 7,564.97, 10,432.49 and 4,539.62 is: 6,260.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.97 : 10,432.49 = 4,539.62 : x
  2. Step 2: Convert to fraction form
    7,564.97/10,432.49 = 4,539.62/x
  3. Step 3: Cross multiply
    7,564.97x = 10,432.49 × 4,539.62
  4. Step 4: Simplify right side
    7,564.97x = 47,359,543.64
  5. Step 5: Solve for x
    x = 47,359,543.64/7,564.97
  6. Step 6: Final answer
    x = 6,260.37

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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.