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Finding the Fourth Proportional to 7,542.75, 10,409.01 and 4,399.14

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Solution

The fourth proportional to 7,542.75, 10,409.01 and 4,399.14 is: 6,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.75 : 10,409.01 = 4,399.14 : x
  2. Step 2: Convert to fraction form
    7,542.75/10,409.01 = 4,399.14/x
  3. Step 3: Cross multiply
    7,542.75x = 10,409.01 × 4,399.14
  4. Step 4: Simplify right side
    7,542.75x = 45,790,692.25
  5. Step 5: Solve for x
    x = 45,790,692.25/7,542.75
  6. Step 6: Final answer
    x = 6,070.82

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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.