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Finding the Fourth Proportional to 7,357.82, 10,147.07 and 5,474.12

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Solution

The fourth proportional to 7,357.82, 10,147.07 and 5,474.12 is: 7,549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.82 : 10,147.07 = 5,474.12 : x
  2. Step 2: Convert to fraction form
    7,357.82/10,147.07 = 5,474.12/x
  3. Step 3: Cross multiply
    7,357.82x = 10,147.07 × 5,474.12
  4. Step 4: Simplify right side
    7,357.82x = 55,546,251.46
  5. Step 5: Solve for x
    x = 55,546,251.46/7,357.82
  6. Step 6: Final answer
    x = 7,549.28

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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.