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Finding the Fourth Proportional to 10,645.43, 14,691.10 and 5,930.02

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Solution

The fourth proportional to 10,645.43, 14,691.10 and 5,930.02 is: 8,183.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.43 : 14,691.10 = 5,930.02 : x
  2. Step 2: Convert to fraction form
    10,645.43/14,691.10 = 5,930.02/x
  3. Step 3: Cross multiply
    10,645.43x = 14,691.10 × 5,930.02
  4. Step 4: Simplify right side
    10,645.43x = 87,118,465.27
  5. Step 5: Solve for x
    x = 87,118,465.27/10,645.43
  6. Step 6: Final answer
    x = 8,183.65

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