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Finding the Fourth Proportional to 8,630.48, 12,947.64 and 2,474

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Solution

The fourth proportional to 8,630.48, 12,947.64 and 2,474 is: 3,711.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,630.48 : 12,947.64 = 2,474 : x
  2. Step 2: Convert to fraction form
    8,630.48/12,947.64 = 2,474/x
  3. Step 3: Cross multiply
    8,630.48x = 12,947.64 × 2,474
  4. Step 4: Simplify right side
    8,630.48x = 32,032,461.36
  5. Step 5: Solve for x
    x = 32,032,461.36/8,630.48
  6. Step 6: Final answer
    x = 3,711.55

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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.