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Finding the Fourth Proportional to 8,113.68, 12,142.98 and 5,150.70

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Solution

The fourth proportional to 8,113.68, 12,142.98 and 5,150.70 is: 7,708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.68 : 12,142.98 = 5,150.70 : x
  2. Step 2: Convert to fraction form
    8,113.68/12,142.98 = 5,150.70/x
  3. Step 3: Cross multiply
    8,113.68x = 12,142.98 × 5,150.70
  4. Step 4: Simplify right side
    8,113.68x = 62,544,847.09
  5. Step 5: Solve for x
    x = 62,544,847.09/8,113.68
  6. Step 6: Final answer
    x = 7,708.57

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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.