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Finding the Fourth Proportional to 7,427.25, 10,249.61 and 4,115.25

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Solution

The fourth proportional to 7,427.25, 10,249.61 and 4,115.25 is: 5,679.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.25 : 10,249.61 = 4,115.25 : x
  2. Step 2: Convert to fraction form
    7,427.25/10,249.61 = 4,115.25/x
  3. Step 3: Cross multiply
    7,427.25x = 10,249.61 × 4,115.25
  4. Step 4: Simplify right side
    7,427.25x = 42,179,707.55
  5. Step 5: Solve for x
    x = 42,179,707.55/7,427.25
  6. Step 6: Final answer
    x = 5,679.05

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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.