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Finding the Fourth Proportional to 8,170.32, 12,241.54 and 4,475.17

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Solution

The fourth proportional to 8,170.32, 12,241.54 and 4,475.17 is: 6,705.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.32 : 12,241.54 = 4,475.17 : x
  2. Step 2: Convert to fraction form
    8,170.32/12,241.54 = 4,475.17/x
  3. Step 3: Cross multiply
    8,170.32x = 12,241.54 × 4,475.17
  4. Step 4: Simplify right side
    8,170.32x = 54,782,972.56
  5. Step 5: Solve for x
    x = 54,782,972.56/8,170.32
  6. Step 6: Final answer
    x = 6,705.12

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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.