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Finding the Fourth Proportional to 10,319.87, 14,241.03 and 5,842.73

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Solution

The fourth proportional to 10,319.87, 14,241.03 and 5,842.73 is: 8,062.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319.87 : 14,241.03 = 5,842.73 : x
  2. Step 2: Convert to fraction form
    10,319.87/14,241.03 = 5,842.73/x
  3. Step 3: Cross multiply
    10,319.87x = 14,241.03 × 5,842.73
  4. Step 4: Simplify right side
    10,319.87x = 83,206,493.21
  5. Step 5: Solve for x
    x = 83,206,493.21/10,319.87
  6. Step 6: Final answer
    x = 8,062.75

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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.