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Finding the Fourth Proportional to 10,255.44, 15,385.56 and 4,408.80

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Solution

The fourth proportional to 10,255.44, 15,385.56 and 4,408.80 is: 6,614.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,255.44 : 15,385.56 = 4,408.80 : x
  2. Step 2: Convert to fraction form
    10,255.44/15,385.56 = 4,408.80/x
  3. Step 3: Cross multiply
    10,255.44x = 15,385.56 × 4,408.80
  4. Step 4: Simplify right side
    10,255.44x = 67,831,856.93
  5. Step 5: Solve for x
    x = 67,831,856.93/10,255.44
  6. Step 6: Final answer
    x = 6,614.23

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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.