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Finding the Fourth Proportional to 10,138.40, 13,990.97 and 5,662.15

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Solution

The fourth proportional to 10,138.40, 13,990.97 and 5,662.15 is: 7,813.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.40 : 13,990.97 = 5,662.15 : x
  2. Step 2: Convert to fraction form
    10,138.40/13,990.97 = 5,662.15/x
  3. Step 3: Cross multiply
    10,138.40x = 13,990.97 × 5,662.15
  4. Step 4: Simplify right side
    10,138.40x = 79,218,949.96
  5. Step 5: Solve for x
    x = 79,218,949.96/10,138.40
  6. Step 6: Final answer
    x = 7,813.75

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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.