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Finding the Fourth Proportional to 7,438.69, 10,265.46 and 4,081.56

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Solution

The fourth proportional to 7,438.69, 10,265.46 and 4,081.56 is: 5,632.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.69 : 10,265.46 = 4,081.56 : x
  2. Step 2: Convert to fraction form
    7,438.69/10,265.46 = 4,081.56/x
  3. Step 3: Cross multiply
    7,438.69x = 10,265.46 × 4,081.56
  4. Step 4: Simplify right side
    7,438.69x = 41,899,135.21
  5. Step 5: Solve for x
    x = 41,899,135.21/7,438.69
  6. Step 6: Final answer
    x = 5,632.60

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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.