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Finding the Fourth Proportional to 11,906.91, 17,862.18 and 3,142.51

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Solution

The fourth proportional to 11,906.91, 17,862.18 and 3,142.51 is: 4,714.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.91 : 17,862.18 = 3,142.51 : x
  2. Step 2: Convert to fraction form
    11,906.91/17,862.18 = 3,142.51/x
  3. Step 3: Cross multiply
    11,906.91x = 17,862.18 × 3,142.51
  4. Step 4: Simplify right side
    11,906.91x = 56,132,079.27
  5. Step 5: Solve for x
    x = 56,132,079.27/11,906.91
  6. Step 6: Final answer
    x = 4,714.24

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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.