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Finding the Fourth Proportional to 8,472.96, 12,708.36 and 5,343.53

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Solution

The fourth proportional to 8,472.96, 12,708.36 and 5,343.53 is: 8,014.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.96 : 12,708.36 = 5,343.53 : x
  2. Step 2: Convert to fraction form
    8,472.96/12,708.36 = 5,343.53/x
  3. Step 3: Cross multiply
    8,472.96x = 12,708.36 × 5,343.53
  4. Step 4: Simplify right side
    8,472.96x = 67,907,439.37
  5. Step 5: Solve for x
    x = 67,907,439.37/8,472.96
  6. Step 6: Final answer
    x = 8,014.61

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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.