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Finding the Fourth Proportional to 8,347.10, 12,520.65 and 3,414.74

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Solution

The fourth proportional to 8,347.10, 12,520.65 and 3,414.74 is: 5,122.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,347.10 : 12,520.65 = 3,414.74 : x
  2. Step 2: Convert to fraction form
    8,347.10/12,520.65 = 3,414.74/x
  3. Step 3: Cross multiply
    8,347.10x = 12,520.65 × 3,414.74
  4. Step 4: Simplify right side
    8,347.10x = 42,754,684.70
  5. Step 5: Solve for x
    x = 42,754,684.70/8,347.10
  6. Step 6: Final answer
    x = 5,122.10

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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.