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Finding the Fourth Proportional to 7,427.96, 10,248.78 and 4,115.96

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Solution

The fourth proportional to 7,427.96, 10,248.78 and 4,115.96 is: 5,679.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.96 : 10,248.78 = 4,115.96 : x
  2. Step 2: Convert to fraction form
    7,427.96/10,248.78 = 4,115.96/x
  3. Step 3: Cross multiply
    7,427.96x = 10,248.78 × 4,115.96
  4. Step 4: Simplify right side
    7,427.96x = 42,183,568.53
  5. Step 5: Solve for x
    x = 42,183,568.53/7,427.96
  6. Step 6: Final answer
    x = 5,679.02

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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.