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Finding the Fourth Proportional to 7,438.97, 10,265.88 and 4,081.72

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Solution

The fourth proportional to 7,438.97, 10,265.88 and 4,081.72 is: 5,632.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.97 : 10,265.88 = 4,081.72 : x
  2. Step 2: Convert to fraction form
    7,438.97/10,265.88 = 4,081.72/x
  3. Step 3: Cross multiply
    7,438.97x = 10,265.88 × 4,081.72
  4. Step 4: Simplify right side
    7,438.97x = 41,902,447.71
  5. Step 5: Solve for x
    x = 41,902,447.71/7,438.97
  6. Step 6: Final answer
    x = 5,632.83

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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.