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Finding the Fourth Proportional to 8,201.72, 12,304.68 and 2,358.76

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Solution

The fourth proportional to 8,201.72, 12,304.68 and 2,358.76 is: 3,538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.72 : 12,304.68 = 2,358.76 : x
  2. Step 2: Convert to fraction form
    8,201.72/12,304.68 = 2,358.76/x
  3. Step 3: Cross multiply
    8,201.72x = 12,304.68 × 2,358.76
  4. Step 4: Simplify right side
    8,201.72x = 29,023,787.00
  5. Step 5: Solve for x
    x = 29,023,787.00/8,201.72
  6. Step 6: Final answer
    x = 3,538.74

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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.