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Finding the Fourth Proportional to 11,854.96, 17,781.83 and 3,535.04

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Solution

The fourth proportional to 11,854.96, 17,781.83 and 3,535.04 is: 5,302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.96 : 17,781.83 = 3,535.04 : x
  2. Step 2: Convert to fraction form
    11,854.96/17,781.83 = 3,535.04/x
  3. Step 3: Cross multiply
    11,854.96x = 17,781.83 × 3,535.04
  4. Step 4: Simplify right side
    11,854.96x = 62,859,520.36
  5. Step 5: Solve for x
    x = 62,859,520.36/11,854.96
  6. Step 6: Final answer
    x = 5,302.38

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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.