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Finding the Fourth Proportional to 8,478.42, 12,716.55 and 2,238.95

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Solution

The fourth proportional to 8,478.42, 12,716.55 and 2,238.95 is: 3,358.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.42 : 12,716.55 = 2,238.95 : x
  2. Step 2: Convert to fraction form
    8,478.42/12,716.55 = 2,238.95/x
  3. Step 3: Cross multiply
    8,478.42x = 12,716.55 × 2,238.95
  4. Step 4: Simplify right side
    8,478.42x = 28,471,656.04
  5. Step 5: Solve for x
    x = 28,471,656.04/8,478.42
  6. Step 6: Final answer
    x = 3,358.13

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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.