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Finding the Fourth Proportional to 8,767, 13,151.98 and 3,836.52

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Solution

The fourth proportional to 8,767, 13,151.98 and 3,836.52 is: 5,755.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,767 : 13,151.98 = 3,836.52 : x
  2. Step 2: Convert to fraction form
    8,767/13,151.98 = 3,836.52/x
  3. Step 3: Cross multiply
    8,767x = 13,151.98 × 3,836.52
  4. Step 4: Simplify right side
    8,767x = 50,457,834.31
  5. Step 5: Solve for x
    x = 50,457,834.31/8,767
  6. Step 6: Final answer
    x = 5,755.43

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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.