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Finding the Fourth Proportional to 10,139.85, 13,989.26 and 6,363.16

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Solution

The fourth proportional to 10,139.85, 13,989.26 and 6,363.16 is: 8,778.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139.85 : 13,989.26 = 6,363.16 : x
  2. Step 2: Convert to fraction form
    10,139.85/13,989.26 = 6,363.16/x
  3. Step 3: Cross multiply
    10,139.85x = 13,989.26 × 6,363.16
  4. Step 4: Simplify right side
    10,139.85x = 89,015,844.80
  5. Step 5: Solve for x
    x = 89,015,844.80/10,139.85
  6. Step 6: Final answer
    x = 8,778.81

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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.