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Finding the Fourth Proportional to 10,816.92, 14,924.52 and 6,338.27

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Solution

The fourth proportional to 10,816.92, 14,924.52 and 6,338.27 is: 8,745.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,816.92 : 14,924.52 = 6,338.27 : x
  2. Step 2: Convert to fraction form
    10,816.92/14,924.52 = 6,338.27/x
  3. Step 3: Cross multiply
    10,816.92x = 14,924.52 × 6,338.27
  4. Step 4: Simplify right side
    10,816.92x = 94,595,637.38
  5. Step 5: Solve for x
    x = 94,595,637.38/10,816.92
  6. Step 6: Final answer
    x = 8,745.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.