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Finding the Fourth Proportional to 8,129.16, 12,189.42 and 3,742.88

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Solution

The fourth proportional to 8,129.16, 12,189.42 and 3,742.88 is: 5,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.16 : 12,189.42 = 3,742.88 : x
  2. Step 2: Convert to fraction form
    8,129.16/12,189.42 = 3,742.88/x
  3. Step 3: Cross multiply
    8,129.16x = 12,189.42 × 3,742.88
  4. Step 4: Simplify right side
    8,129.16x = 45,623,475.38
  5. Step 5: Solve for x
    x = 45,623,475.38/8,129.16
  6. Step 6: Final answer
    x = 5,612.32

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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.