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Finding the Fourth Proportional to 10,490.92, 15,732.72 and 3,093.42

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Solution

The fourth proportional to 10,490.92, 15,732.72 and 3,093.42 is: 4,639.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.92 : 15,732.72 = 3,093.42 : x
  2. Step 2: Convert to fraction form
    10,490.92/15,732.72 = 3,093.42/x
  3. Step 3: Cross multiply
    10,490.92x = 15,732.72 × 3,093.42
  4. Step 4: Simplify right side
    10,490.92x = 48,667,910.70
  5. Step 5: Solve for x
    x = 48,667,910.70/10,490.92
  6. Step 6: Final answer
    x = 4,639.05

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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.