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Finding the Fourth Proportional to 7,732.92, 11,602.62 and 5,558.88

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Solution

The fourth proportional to 7,732.92, 11,602.62 and 5,558.88 is: 8,340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.92 : 11,602.62 = 5,558.88 : x
  2. Step 2: Convert to fraction form
    7,732.92/11,602.62 = 5,558.88/x
  3. Step 3: Cross multiply
    7,732.92x = 11,602.62 × 5,558.88
  4. Step 4: Simplify right side
    7,732.92x = 64,497,572.27
  5. Step 5: Solve for x
    x = 64,497,572.27/7,732.92
  6. Step 6: Final answer
    x = 8,340.65

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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.