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Finding the Fourth Proportional to 10,452.92, 14,426.33 and 5,976.05

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Solution

The fourth proportional to 10,452.92, 14,426.33 and 5,976.05 is: 8,247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.92 : 14,426.33 = 5,976.05 : x
  2. Step 2: Convert to fraction form
    10,452.92/14,426.33 = 5,976.05/x
  3. Step 3: Cross multiply
    10,452.92x = 14,426.33 × 5,976.05
  4. Step 4: Simplify right side
    10,452.92x = 86,212,367.38
  5. Step 5: Solve for x
    x = 86,212,367.38/10,452.92
  6. Step 6: Final answer
    x = 8,247.69

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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.