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Finding the Fourth Proportional to 8,167.32, 12,267.18 and 6,996.87

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Solution

The fourth proportional to 8,167.32, 12,267.18 and 6,996.87 is: 10,509.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.32 : 12,267.18 = 6,996.87 : x
  2. Step 2: Convert to fraction form
    8,167.32/12,267.18 = 6,996.87/x
  3. Step 3: Cross multiply
    8,167.32x = 12,267.18 × 6,996.87
  4. Step 4: Simplify right side
    8,167.32x = 85,831,863.73
  5. Step 5: Solve for x
    x = 85,831,863.73/8,167.32
  6. Step 6: Final answer
    x = 10,509.18

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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.