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Finding the Fourth Proportional to 7,737.63, 11,608.20 and 2,543.55

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Solution

The fourth proportional to 7,737.63, 11,608.20 and 2,543.55 is: 3,815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.63 : 11,608.20 = 2,543.55 : x
  2. Step 2: Convert to fraction form
    7,737.63/11,608.20 = 2,543.55/x
  3. Step 3: Cross multiply
    7,737.63x = 11,608.20 × 2,543.55
  4. Step 4: Simplify right side
    7,737.63x = 29,526,037.11
  5. Step 5: Solve for x
    x = 29,526,037.11/7,737.63
  6. Step 6: Final answer
    x = 3,815.90

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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.