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Finding the Fourth Proportional to 8,715.50, 13,074.12 and 2,475.80

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Solution

The fourth proportional to 8,715.50, 13,074.12 and 2,475.80 is: 3,713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,715.50 : 13,074.12 = 2,475.80 : x
  2. Step 2: Convert to fraction form
    8,715.50/13,074.12 = 2,475.80/x
  3. Step 3: Cross multiply
    8,715.50x = 13,074.12 × 2,475.80
  4. Step 4: Simplify right side
    8,715.50x = 32,368,906.30
  5. Step 5: Solve for x
    x = 32,368,906.30/8,715.50
  6. Step 6: Final answer
    x = 3,713.95

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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.