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Finding the Fourth Proportional to 8,834.76, 13,234.80 and 5,129.22

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Solution

The fourth proportional to 8,834.76, 13,234.80 and 5,129.22 is: 7,683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,834.76 : 13,234.80 = 5,129.22 : x
  2. Step 2: Convert to fraction form
    8,834.76/13,234.80 = 5,129.22/x
  3. Step 3: Cross multiply
    8,834.76x = 13,234.80 × 5,129.22
  4. Step 4: Simplify right side
    8,834.76x = 67,884,200.86
  5. Step 5: Solve for x
    x = 67,884,200.86/8,834.76
  6. Step 6: Final answer
    x = 7,683.76

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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.