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Finding the Fourth Proportional to 7,257.72, 10,016.28 and 4,114.92

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Solution

The fourth proportional to 7,257.72, 10,016.28 and 4,114.92 is: 5,678.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.72 : 10,016.28 = 4,114.92 : x
  2. Step 2: Convert to fraction form
    7,257.72/10,016.28 = 4,114.92/x
  3. Step 3: Cross multiply
    7,257.72x = 10,016.28 × 4,114.92
  4. Step 4: Simplify right side
    7,257.72x = 41,216,190.90
  5. Step 5: Solve for x
    x = 41,216,190.90/7,257.72
  6. Step 6: Final answer
    x = 5,678.94

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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.