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Finding the Fourth Proportional to 7,257.81, 10,017.63 and 4,115.82

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Solution

The fourth proportional to 7,257.81, 10,017.63 and 4,115.82 is: 5,680.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.81 : 10,017.63 = 4,115.82 : x
  2. Step 2: Convert to fraction form
    7,257.81/10,017.63 = 4,115.82/x
  3. Step 3: Cross multiply
    7,257.81x = 10,017.63 × 4,115.82
  4. Step 4: Simplify right side
    7,257.81x = 41,230,761.91
  5. Step 5: Solve for x
    x = 41,230,761.91/7,257.81
  6. Step 6: Final answer
    x = 5,680.88

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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.