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Finding the Fourth Proportional to 11,854.73, 17,781.98 and 4,833.09

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Solution

The fourth proportional to 11,854.73, 17,781.98 and 4,833.09 is: 7,249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.73 : 17,781.98 = 4,833.09 : x
  2. Step 2: Convert to fraction form
    11,854.73/17,781.98 = 4,833.09/x
  3. Step 3: Cross multiply
    11,854.73x = 17,781.98 × 4,833.09
  4. Step 4: Simplify right side
    11,854.73x = 85,941,885.55
  5. Step 5: Solve for x
    x = 85,941,885.55/11,854.73
  6. Step 6: Final answer
    x = 7,249.58

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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.