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Finding the Fourth Proportional to 8,282.46, 12,429.45 and 5,353.50

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Solution

The fourth proportional to 8,282.46, 12,429.45 and 5,353.50 is: 8,033.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.46 : 12,429.45 = 5,353.50 : x
  2. Step 2: Convert to fraction form
    8,282.46/12,429.45 = 5,353.50/x
  3. Step 3: Cross multiply
    8,282.46x = 12,429.45 × 5,353.50
  4. Step 4: Simplify right side
    8,282.46x = 66,541,060.58
  5. Step 5: Solve for x
    x = 66,541,060.58/8,282.46
  6. Step 6: Final answer
    x = 8,033.97

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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.