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Finding the Fourth Proportional to 7,737.60, 11,605.44 and 2,543.52

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Solution

The fourth proportional to 7,737.60, 11,605.44 and 2,543.52 is: 3,814.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.60 : 11,605.44 = 2,543.52 : x
  2. Step 2: Convert to fraction form
    7,737.60/11,605.44 = 2,543.52/x
  3. Step 3: Cross multiply
    7,737.60x = 11,605.44 × 2,543.52
  4. Step 4: Simplify right side
    7,737.60x = 29,518,668.75
  5. Step 5: Solve for x
    x = 29,518,668.75/7,737.60
  6. Step 6: Final answer
    x = 3,814.96

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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.