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Finding the Fourth Proportional to 8,141.66, 12,139.33 and 7,446.60

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Solution

The fourth proportional to 8,141.66, 12,139.33 and 7,446.60 is: 11,102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.66 : 12,139.33 = 7,446.60 : x
  2. Step 2: Convert to fraction form
    8,141.66/12,139.33 = 7,446.60/x
  3. Step 3: Cross multiply
    8,141.66x = 12,139.33 × 7,446.60
  4. Step 4: Simplify right side
    8,141.66x = 90,396,734.78
  5. Step 5: Solve for x
    x = 90,396,734.78/8,141.66
  6. Step 6: Final answer
    x = 11,102.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.