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Finding the Fourth Proportional to 10,868.87, 16,292.27 and 6,179.18

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Solution

The fourth proportional to 10,868.87, 16,292.27 and 6,179.18 is: 9,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,868.87 : 16,292.27 = 6,179.18 : x
  2. Step 2: Convert to fraction form
    10,868.87/16,292.27 = 6,179.18/x
  3. Step 3: Cross multiply
    10,868.87x = 16,292.27 × 6,179.18
  4. Step 4: Simplify right side
    10,868.87x = 100,672,878.77
  5. Step 5: Solve for x
    x = 100,672,878.77/10,868.87
  6. Step 6: Final answer
    x = 9,262.50

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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.