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Finding the Fourth Proportional to 8,138.06, 12,194.02 and 5,008.83

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Solution

The fourth proportional to 8,138.06, 12,194.02 and 5,008.83 is: 7,505.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.06 : 12,194.02 = 5,008.83 : x
  2. Step 2: Convert to fraction form
    8,138.06/12,194.02 = 5,008.83/x
  3. Step 3: Cross multiply
    8,138.06x = 12,194.02 × 5,008.83
  4. Step 4: Simplify right side
    8,138.06x = 61,077,773.20
  5. Step 5: Solve for x
    x = 61,077,773.20/8,138.06
  6. Step 6: Final answer
    x = 7,505.20

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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.