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Finding the Fourth Proportional to 8,294.52, 12,439.20 and 2,746.62

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Solution

The fourth proportional to 8,294.52, 12,439.20 and 2,746.62 is: 4,119.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.52 : 12,439.20 = 2,746.62 : x
  2. Step 2: Convert to fraction form
    8,294.52/12,439.20 = 2,746.62/x
  3. Step 3: Cross multiply
    8,294.52x = 12,439.20 × 2,746.62
  4. Step 4: Simplify right side
    8,294.52x = 34,165,755.50
  5. Step 5: Solve for x
    x = 34,165,755.50/8,294.52
  6. Step 6: Final answer
    x = 4,119.08

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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.