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Finding the Fourth Proportional to 7,229.30, 10,843.95 and 6,252.50

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Solution

The fourth proportional to 7,229.30, 10,843.95 and 6,252.50 is: 9,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.30 : 10,843.95 = 6,252.50 : x
  2. Step 2: Convert to fraction form
    7,229.30/10,843.95 = 6,252.50/x
  3. Step 3: Cross multiply
    7,229.30x = 10,843.95 × 6,252.50
  4. Step 4: Simplify right side
    7,229.30x = 67,801,797.38
  5. Step 5: Solve for x
    x = 67,801,797.38/7,229.30
  6. Step 6: Final answer
    x = 9,378.75

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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.