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Finding the Fourth Proportional to 7,255.74, 10,013.76 and 4,112.49

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Solution

The fourth proportional to 7,255.74, 10,013.76 and 4,112.49 is: 5,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,255.74 : 10,013.76 = 4,112.49 : x
  2. Step 2: Convert to fraction form
    7,255.74/10,013.76 = 4,112.49/x
  3. Step 3: Cross multiply
    7,255.74x = 10,013.76 × 4,112.49
  4. Step 4: Simplify right side
    7,255.74x = 41,181,487.86
  5. Step 5: Solve for x
    x = 41,181,487.86/7,255.74
  6. Step 6: Final answer
    x = 5,675.71

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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.