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Finding the Fourth Proportional to 8,170.14, 12,244.41 and 2,971.02

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Solution

The fourth proportional to 8,170.14, 12,244.41 and 2,971.02 is: 4,452.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.14 : 12,244.41 = 2,971.02 : x
  2. Step 2: Convert to fraction form
    8,170.14/12,244.41 = 2,971.02/x
  3. Step 3: Cross multiply
    8,170.14x = 12,244.41 × 2,971.02
  4. Step 4: Simplify right side
    8,170.14x = 36,378,387.00
  5. Step 5: Solve for x
    x = 36,378,387.00/8,170.14
  6. Step 6: Final answer
    x = 4,452.60

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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.