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Finding the Fourth Proportional to 10,645.88, 14,691.38 and 5,930.19

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Solution

The fourth proportional to 10,645.88, 14,691.38 and 5,930.19 is: 8,183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.88 : 14,691.38 = 5,930.19 : x
  2. Step 2: Convert to fraction form
    10,645.88/14,691.38 = 5,930.19/x
  3. Step 3: Cross multiply
    10,645.88x = 14,691.38 × 5,930.19
  4. Step 4: Simplify right side
    10,645.88x = 87,122,645.11
  5. Step 5: Solve for x
    x = 87,122,645.11/10,645.88
  6. Step 6: Final answer
    x = 8,183.70

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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.