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Finding the Fourth Proportional to 8,294.40, 12,434.31 and 3,917.16

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Solution

The fourth proportional to 8,294.40, 12,434.31 and 3,917.16 is: 5,872.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.40 : 12,434.31 = 3,917.16 : x
  2. Step 2: Convert to fraction form
    8,294.40/12,434.31 = 3,917.16/x
  3. Step 3: Cross multiply
    8,294.40x = 12,434.31 × 3,917.16
  4. Step 4: Simplify right side
    8,294.40x = 48,707,181.76
  5. Step 5: Solve for x
    x = 48,707,181.76/8,294.40
  6. Step 6: Final answer
    x = 5,872.30

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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.