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Finding the Fourth Proportional to 8,122.68, 12,156.48 and 5,159.70

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Solution

The fourth proportional to 8,122.68, 12,156.48 and 5,159.70 is: 7,722.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.68 : 12,156.48 = 5,159.70 : x
  2. Step 2: Convert to fraction form
    8,122.68/12,156.48 = 5,159.70/x
  3. Step 3: Cross multiply
    8,122.68x = 12,156.48 × 5,159.70
  4. Step 4: Simplify right side
    8,122.68x = 62,723,789.86
  5. Step 5: Solve for x
    x = 62,723,789.86/8,122.68
  6. Step 6: Final answer
    x = 7,722.06

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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.