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Finding the Fourth Proportional to 8,490.38, 12,732.96 and 2,942.42

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Solution

The fourth proportional to 8,490.38, 12,732.96 and 2,942.42 is: 4,412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.38 : 12,732.96 = 2,942.42 : x
  2. Step 2: Convert to fraction form
    8,490.38/12,732.96 = 2,942.42/x
  3. Step 3: Cross multiply
    8,490.38x = 12,732.96 × 2,942.42
  4. Step 4: Simplify right side
    8,490.38x = 37,465,652.50
  5. Step 5: Solve for x
    x = 37,465,652.50/8,490.38
  6. Step 6: Final answer
    x = 4,412.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.