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Finding the Fourth Proportional to 10,375.72, 15,530.22 and 5,438.44

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Solution

The fourth proportional to 10,375.72, 15,530.22 and 5,438.44 is: 8,140.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.72 : 15,530.22 = 5,438.44 : x
  2. Step 2: Convert to fraction form
    10,375.72/15,530.22 = 5,438.44/x
  3. Step 3: Cross multiply
    10,375.72x = 15,530.22 × 5,438.44
  4. Step 4: Simplify right side
    10,375.72x = 84,460,169.66
  5. Step 5: Solve for x
    x = 84,460,169.66/10,375.72
  6. Step 6: Final answer
    x = 8,140.17

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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.