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Finding the Fourth Proportional to 10,229.03, 14,116.08 and 5,752.79

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Solution

The fourth proportional to 10,229.03, 14,116.08 and 5,752.79 is: 7,938.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.03 : 14,116.08 = 5,752.79 : x
  2. Step 2: Convert to fraction form
    10,229.03/14,116.08 = 5,752.79/x
  3. Step 3: Cross multiply
    10,229.03x = 14,116.08 × 5,752.79
  4. Step 4: Simplify right side
    10,229.03x = 81,206,843.86
  5. Step 5: Solve for x
    x = 81,206,843.86/10,229.03
  6. Step 6: Final answer
    x = 7,938.86

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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.