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Finding the Fourth Proportional to 8,166.32, 12,217.58 and 7,171.23

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Solution

The fourth proportional to 8,166.32, 12,217.58 and 7,171.23 is: 10,728.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.32 : 12,217.58 = 7,171.23 : x
  2. Step 2: Convert to fraction form
    8,166.32/12,217.58 = 7,171.23/x
  3. Step 3: Cross multiply
    8,166.32x = 12,217.58 × 7,171.23
  4. Step 4: Simplify right side
    8,166.32x = 87,615,113.08
  5. Step 5: Solve for x
    x = 87,615,113.08/8,166.32
  6. Step 6: Final answer
    x = 10,728.84

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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.