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Finding the Fourth Proportional to 8,139.74, 12,195.66 and 5,466.32

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Solution

The fourth proportional to 8,139.74, 12,195.66 and 5,466.32 is: 8,190.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.74 : 12,195.66 = 5,466.32 : x
  2. Step 2: Convert to fraction form
    8,139.74/12,195.66 = 5,466.32/x
  3. Step 3: Cross multiply
    8,139.74x = 12,195.66 × 5,466.32
  4. Step 4: Simplify right side
    8,139.74x = 66,665,380.17
  5. Step 5: Solve for x
    x = 66,665,380.17/8,139.74
  6. Step 6: Final answer
    x = 8,190.11

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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.