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Finding the Fourth Proportional to 11,908.20, 17,863.14 and 3,143

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Solution

The fourth proportional to 11,908.20, 17,863.14 and 3,143 is: 4,714.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.20 : 17,863.14 = 3,143 : x
  2. Step 2: Convert to fraction form
    11,908.20/17,863.14 = 3,143/x
  3. Step 3: Cross multiply
    11,908.20x = 17,863.14 × 3,143
  4. Step 4: Simplify right side
    11,908.20x = 56,143,849.02
  5. Step 5: Solve for x
    x = 56,143,849.02/11,908.20
  6. Step 6: Final answer
    x = 4,714.72

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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.