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Finding the Fourth Proportional to 8,706.32, 12,016.20 and 5,171.44

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Solution

The fourth proportional to 8,706.32, 12,016.20 and 5,171.44 is: 7,137.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706.32 : 12,016.20 = 5,171.44 : x
  2. Step 2: Convert to fraction form
    8,706.32/12,016.20 = 5,171.44/x
  3. Step 3: Cross multiply
    8,706.32x = 12,016.20 × 5,171.44
  4. Step 4: Simplify right side
    8,706.32x = 62,141,057.33
  5. Step 5: Solve for x
    x = 62,141,057.33/8,706.32
  6. Step 6: Final answer
    x = 7,137.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.