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Finding the Fourth Proportional to 10,781.75, 16,191.02 and 5,861

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Solution

The fourth proportional to 10,781.75, 16,191.02 and 5,861 is: 8,801.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,781.75 : 16,191.02 = 5,861 : x
  2. Step 2: Convert to fraction form
    10,781.75/16,191.02 = 5,861/x
  3. Step 3: Cross multiply
    10,781.75x = 16,191.02 × 5,861
  4. Step 4: Simplify right side
    10,781.75x = 94,895,568.22
  5. Step 5: Solve for x
    x = 94,895,568.22/10,781.75
  6. Step 6: Final answer
    x = 8,801.50

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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.