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Finding the Fourth Proportional to 7,438.86, 10,265.92 and 4,081.82

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Solution

The fourth proportional to 7,438.86, 10,265.92 and 4,081.82 is: 5,633.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.86 : 10,265.92 = 4,081.82 : x
  2. Step 2: Convert to fraction form
    7,438.86/10,265.92 = 4,081.82/x
  3. Step 3: Cross multiply
    7,438.86x = 10,265.92 × 4,081.82
  4. Step 4: Simplify right side
    7,438.86x = 41,903,576.04
  5. Step 5: Solve for x
    x = 41,903,576.04/7,438.86
  6. Step 6: Final answer
    x = 5,633.06

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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.