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Finding the Fourth Proportional to 8,127, 12,191.31 and 3,743.82

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Solution

The fourth proportional to 8,127, 12,191.31 and 3,743.82 is: 5,616.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127 : 12,191.31 = 3,743.82 : x
  2. Step 2: Convert to fraction form
    8,127/12,191.31 = 3,743.82/x
  3. Step 3: Cross multiply
    8,127x = 12,191.31 × 3,743.82
  4. Step 4: Simplify right side
    8,127x = 45,642,070.20
  5. Step 5: Solve for x
    x = 45,642,070.20/8,127
  6. Step 6: Final answer
    x = 5,616.10

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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.