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Finding the Fourth Proportional to 8,767.29, 13,151.21 and 3,834.39

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Solution

The fourth proportional to 8,767.29, 13,151.21 and 3,834.39 is: 5,751.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,767.29 : 13,151.21 = 3,834.39 : x
  2. Step 2: Convert to fraction form
    8,767.29/13,151.21 = 3,834.39/x
  3. Step 3: Cross multiply
    8,767.29x = 13,151.21 × 3,834.39
  4. Step 4: Simplify right side
    8,767.29x = 50,426,848.94
  5. Step 5: Solve for x
    x = 50,426,848.94/8,767.29
  6. Step 6: Final answer
    x = 5,751.70

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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.