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Finding the Fourth Proportional to 11,854.64, 17,781.90 and 4,834.62

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Solution

The fourth proportional to 11,854.64, 17,781.90 and 4,834.62 is: 7,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.64 : 17,781.90 = 4,834.62 : x
  2. Step 2: Convert to fraction form
    11,854.64/17,781.90 = 4,834.62/x
  3. Step 3: Cross multiply
    11,854.64x = 17,781.90 × 4,834.62
  4. Step 4: Simplify right side
    11,854.64x = 85,968,711.25
  5. Step 5: Solve for x
    x = 85,968,711.25/11,854.64
  6. Step 6: Final answer
    x = 7,251.90

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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.