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Finding the Fourth Proportional to 6,843.72, 10,251.72 and 5,376

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Solution

The fourth proportional to 6,843.72, 10,251.72 and 5,376 is: 8,053.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.72 : 10,251.72 = 5,376 : x
  2. Step 2: Convert to fraction form
    6,843.72/10,251.72 = 5,376/x
  3. Step 3: Cross multiply
    6,843.72x = 10,251.72 × 5,376
  4. Step 4: Simplify right side
    6,843.72x = 55,113,246.72
  5. Step 5: Solve for x
    x = 55,113,246.72/6,843.72
  6. Step 6: Final answer
    x = 8,053.11

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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.