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Finding the Fourth Proportional to 7,265.20, 10,026.20 and 4,121.52

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Solution

The fourth proportional to 7,265.20, 10,026.20 and 4,121.52 is: 5,687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.20 : 10,026.20 = 4,121.52 : x
  2. Step 2: Convert to fraction form
    7,265.20/10,026.20 = 4,121.52/x
  3. Step 3: Cross multiply
    7,265.20x = 10,026.20 × 4,121.52
  4. Step 4: Simplify right side
    7,265.20x = 41,323,183.82
  5. Step 5: Solve for x
    x = 41,323,183.82/7,265.20
  6. Step 6: Final answer
    x = 5,687.82

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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.