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Finding the Fourth Proportional to 10,270.90, 15,400.41 and 4,023.61

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Solution

The fourth proportional to 10,270.90, 15,400.41 and 4,023.61 is: 6,033.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270.90 : 15,400.41 = 4,023.61 : x
  2. Step 2: Convert to fraction form
    10,270.90/15,400.41 = 4,023.61/x
  3. Step 3: Cross multiply
    10,270.90x = 15,400.41 × 4,023.61
  4. Step 4: Simplify right side
    10,270.90x = 61,965,212.72
  5. Step 5: Solve for x
    x = 61,965,212.72/10,270.90
  6. Step 6: Final answer
    x = 6,033.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.