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Finding the Fourth Proportional to 11,854.71, 17,781.21 and 3,089.34

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Solution

The fourth proportional to 11,854.71, 17,781.21 and 3,089.34 is: 4,633.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.71 : 17,781.21 = 3,089.34 : x
  2. Step 2: Convert to fraction form
    11,854.71/17,781.21 = 3,089.34/x
  3. Step 3: Cross multiply
    11,854.71x = 17,781.21 × 3,089.34
  4. Step 4: Simplify right side
    11,854.71x = 54,932,203.30
  5. Step 5: Solve for x
    x = 54,932,203.30/11,854.71
  6. Step 6: Final answer
    x = 4,633.79

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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.