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Finding the Fourth Proportional to 7,868, 11,802 and 3,251.12

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Solution

The fourth proportional to 7,868, 11,802 and 3,251.12 is: 4,876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868 : 11,802 = 3,251.12 : x
  2. Step 2: Convert to fraction form
    7,868/11,802 = 3,251.12/x
  3. Step 3: Cross multiply
    7,868x = 11,802 × 3,251.12
  4. Step 4: Simplify right side
    7,868x = 38,369,718.24
  5. Step 5: Solve for x
    x = 38,369,718.24/7,868
  6. Step 6: Final answer
    x = 4,876.68

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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.