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Finding the Fourth Proportional to 7,704.10, 11,545.62 and 3,542.32

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Solution

The fourth proportional to 7,704.10, 11,545.62 and 3,542.32 is: 5,308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.10 : 11,545.62 = 3,542.32 : x
  2. Step 2: Convert to fraction form
    7,704.10/11,545.62 = 3,542.32/x
  3. Step 3: Cross multiply
    7,704.10x = 11,545.62 × 3,542.32
  4. Step 4: Simplify right side
    7,704.10x = 40,898,280.64
  5. Step 5: Solve for x
    x = 40,898,280.64/7,704.10
  6. Step 6: Final answer
    x = 5,308.64

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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.