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Finding the Fourth Proportional to 7,562.92, 11,350.53 and 5,686.88

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Solution

The fourth proportional to 7,562.92, 11,350.53 and 5,686.88 is: 8,534.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.92 : 11,350.53 = 5,686.88 : x
  2. Step 2: Convert to fraction form
    7,562.92/11,350.53 = 5,686.88/x
  3. Step 3: Cross multiply
    7,562.92x = 11,350.53 × 5,686.88
  4. Step 4: Simplify right side
    7,562.92x = 64,549,141.06
  5. Step 5: Solve for x
    x = 64,549,141.06/7,562.92
  6. Step 6: Final answer
    x = 8,534.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.