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Finding the Fourth Proportional to 8,471.52, 12,704.13 and 4,310.10

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Solution

The fourth proportional to 8,471.52, 12,704.13 and 4,310.10 is: 6,463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.52 : 12,704.13 = 4,310.10 : x
  2. Step 2: Convert to fraction form
    8,471.52/12,704.13 = 4,310.10/x
  3. Step 3: Cross multiply
    8,471.52x = 12,704.13 × 4,310.10
  4. Step 4: Simplify right side
    8,471.52x = 54,756,070.71
  5. Step 5: Solve for x
    x = 54,756,070.71/8,471.52
  6. Step 6: Final answer
    x = 6,463.55

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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.