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Finding the Fourth Proportional to 7,562.56, 11,345.92 and 5,385.16

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Solution

The fourth proportional to 7,562.56, 11,345.92 and 5,385.16 is: 8,079.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.56 : 11,345.92 = 5,385.16 : x
  2. Step 2: Convert to fraction form
    7,562.56/11,345.92 = 5,385.16/x
  3. Step 3: Cross multiply
    7,562.56x = 11,345.92 × 5,385.16
  4. Step 4: Simplify right side
    7,562.56x = 61,099,594.55
  5. Step 5: Solve for x
    x = 61,099,594.55/7,562.56
  6. Step 6: Final answer
    x = 8,079.22

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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.