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Finding the Fourth Proportional to 8,242.14, 12,360.65 and 2,976.47

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Solution

The fourth proportional to 8,242.14, 12,360.65 and 2,976.47 is: 4,463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.14 : 12,360.65 = 2,976.47 : x
  2. Step 2: Convert to fraction form
    8,242.14/12,360.65 = 2,976.47/x
  3. Step 3: Cross multiply
    8,242.14x = 12,360.65 × 2,976.47
  4. Step 4: Simplify right side
    8,242.14x = 36,791,103.91
  5. Step 5: Solve for x
    x = 36,791,103.91/8,242.14
  6. Step 6: Final answer
    x = 4,463.78

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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.