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Finding the Fourth Proportional to 7,257.40, 10,016.00 and 4,113.25

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Solution

The fourth proportional to 7,257.40, 10,016.00 and 4,113.25 is: 5,676.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.40 : 10,016.00 = 4,113.25 : x
  2. Step 2: Convert to fraction form
    7,257.40/10,016.00 = 4,113.25/x
  3. Step 3: Cross multiply
    7,257.40x = 10,016.00 × 4,113.25
  4. Step 4: Simplify right side
    7,257.40x = 41,198,291.43
  5. Step 5: Solve for x
    x = 41,198,291.43/7,257.40
  6. Step 6: Final answer
    x = 5,676.73

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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.