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Finding the Fourth Proportional to 7,438.98, 10,265.65 and 4,081.78

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Solution

The fourth proportional to 7,438.98, 10,265.65 and 4,081.78 is: 5,632.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.98 : 10,265.65 = 4,081.78 : x
  2. Step 2: Convert to fraction form
    7,438.98/10,265.65 = 4,081.78/x
  3. Step 3: Cross multiply
    7,438.98x = 10,265.65 × 4,081.78
  4. Step 4: Simplify right side
    7,438.98x = 41,902,124.86
  5. Step 5: Solve for x
    x = 41,902,124.86/7,438.98
  6. Step 6: Final answer
    x = 5,632.78

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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.