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Finding the Fourth Proportional to 8,246.94, 12,367.14 and 5,343.90

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Solution

The fourth proportional to 8,246.94, 12,367.14 and 5,343.90 is: 8,013.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246.94 : 12,367.14 = 5,343.90 : x
  2. Step 2: Convert to fraction form
    8,246.94/12,367.14 = 5,343.90/x
  3. Step 3: Cross multiply
    8,246.94x = 12,367.14 × 5,343.90
  4. Step 4: Simplify right side
    8,246.94x = 66,088,759.45
  5. Step 5: Solve for x
    x = 66,088,759.45/8,246.94
  6. Step 6: Final answer
    x = 8,013.73

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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.