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Finding the Fourth Proportional to 7,932.34, 11,898.60 and 2,737

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Solution

The fourth proportional to 7,932.34, 11,898.60 and 2,737 is: 4,105.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.34 : 11,898.60 = 2,737 : x
  2. Step 2: Convert to fraction form
    7,932.34/11,898.60 = 2,737/x
  3. Step 3: Cross multiply
    7,932.34x = 11,898.60 × 2,737
  4. Step 4: Simplify right side
    7,932.34x = 32,566,468.20
  5. Step 5: Solve for x
    x = 32,566,468.20/7,932.34
  6. Step 6: Final answer
    x = 4,105.53

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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.