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Finding the Fourth Proportional to 8,146.40, 12,221.12 and 3,760.96

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Solution

The fourth proportional to 8,146.40, 12,221.12 and 3,760.96 is: 5,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.40 : 12,221.12 = 3,760.96 : x
  2. Step 2: Convert to fraction form
    8,146.40/12,221.12 = 3,760.96/x
  3. Step 3: Cross multiply
    8,146.40x = 12,221.12 × 3,760.96
  4. Step 4: Simplify right side
    8,146.40x = 45,963,143.48
  5. Step 5: Solve for x
    x = 45,963,143.48/8,146.40
  6. Step 6: Final answer
    x = 5,642.14

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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.