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Finding the Fourth Proportional to 10,379.67, 15,559.92 and 4,138.17

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Solution

The fourth proportional to 10,379.67, 15,559.92 and 4,138.17 is: 6,203.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.67 : 15,559.92 = 4,138.17 : x
  2. Step 2: Convert to fraction form
    10,379.67/15,559.92 = 4,138.17/x
  3. Step 3: Cross multiply
    10,379.67x = 15,559.92 × 4,138.17
  4. Step 4: Simplify right side
    10,379.67x = 64,389,634.96
  5. Step 5: Solve for x
    x = 64,389,634.96/10,379.67
  6. Step 6: Final answer
    x = 6,203.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.