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Finding the Fourth Proportional to 10,138.67, 13,990.42 and 6,553.71

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Solution

The fourth proportional to 10,138.67, 13,990.42 and 6,553.71 is: 9,043.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.67 : 13,990.42 = 6,553.71 : x
  2. Step 2: Convert to fraction form
    10,138.67/13,990.42 = 6,553.71/x
  3. Step 3: Cross multiply
    10,138.67x = 13,990.42 × 6,553.71
  4. Step 4: Simplify right side
    10,138.67x = 91,689,163.65
  5. Step 5: Solve for x
    x = 91,689,163.65/10,138.67
  6. Step 6: Final answer
    x = 9,043.51

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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.