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Finding the Fourth Proportional to 8,711.96, 13,068 and 2,138.20

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Solution

The fourth proportional to 8,711.96, 13,068 and 2,138.20 is: 3,207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.96 : 13,068 = 2,138.20 : x
  2. Step 2: Convert to fraction form
    8,711.96/13,068 = 2,138.20/x
  3. Step 3: Cross multiply
    8,711.96x = 13,068 × 2,138.20
  4. Step 4: Simplify right side
    8,711.96x = 27,941,964.93
  5. Step 5: Solve for x
    x = 27,941,964.93/8,711.96
  6. Step 6: Final answer
    x = 3,207.31

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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.