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Finding the Fourth Proportional to 7,438.70, 10,265.42 and 4,081.54

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Solution

The fourth proportional to 7,438.70, 10,265.42 and 4,081.54 is: 5,632.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.70 : 10,265.42 = 4,081.54 : x
  2. Step 2: Convert to fraction form
    7,438.70/10,265.42 = 4,081.54/x
  3. Step 3: Cross multiply
    7,438.70x = 10,265.42 × 4,081.54
  4. Step 4: Simplify right side
    7,438.70x = 41,898,722.35
  5. Step 5: Solve for x
    x = 41,898,722.35/7,438.70
  6. Step 6: Final answer
    x = 5,632.53

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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.