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Finding the Fourth Proportional to 8,158.44, 12,237.66 and 2,314.29

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Solution

The fourth proportional to 8,158.44, 12,237.66 and 2,314.29 is: 3,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.44 : 12,237.66 = 2,314.29 : x
  2. Step 2: Convert to fraction form
    8,158.44/12,237.66 = 2,314.29/x
  3. Step 3: Cross multiply
    8,158.44x = 12,237.66 × 2,314.29
  4. Step 4: Simplify right side
    8,158.44x = 28,321,494.16
  5. Step 5: Solve for x
    x = 28,321,494.16/8,158.44
  6. Step 6: Final answer
    x = 3,471.44

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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.