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Finding the Fourth Proportional to 8,781.90, 12,109.82 and 5,793.81

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Solution

The fourth proportional to 8,781.90, 12,109.82 and 5,793.81 is: 7,989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,781.90 : 12,109.82 = 5,793.81 : x
  2. Step 2: Convert to fraction form
    8,781.90/12,109.82 = 5,793.81/x
  3. Step 3: Cross multiply
    8,781.90x = 12,109.82 × 5,793.81
  4. Step 4: Simplify right side
    8,781.90x = 70,161,967.25
  5. Step 5: Solve for x
    x = 70,161,967.25/8,781.90
  6. Step 6: Final answer
    x = 7,989.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.