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Finding the Fourth Proportional to 11,854.54, 17,781.81 and 3,534.52

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Solution

The fourth proportional to 11,854.54, 17,781.81 and 3,534.52 is: 5,301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.54 : 17,781.81 = 3,534.52 : x
  2. Step 2: Convert to fraction form
    11,854.54/17,781.81 = 3,534.52/x
  3. Step 3: Cross multiply
    11,854.54x = 17,781.81 × 3,534.52
  4. Step 4: Simplify right side
    11,854.54x = 62,850,163.08
  5. Step 5: Solve for x
    x = 62,850,163.08/11,854.54
  6. Step 6: Final answer
    x = 5,301.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.