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Finding the Fourth Proportional to 7,160.30, 9,882.23 and 3,974.32

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Solution

The fourth proportional to 7,160.30, 9,882.23 and 3,974.32 is: 5,485.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.30 : 9,882.23 = 3,974.32 : x
  2. Step 2: Convert to fraction form
    7,160.30/9,882.23 = 3,974.32/x
  3. Step 3: Cross multiply
    7,160.30x = 9,882.23 × 3,974.32
  4. Step 4: Simplify right side
    7,160.30x = 39,275,144.33
  5. Step 5: Solve for x
    x = 39,275,144.33/7,160.30
  6. Step 6: Final answer
    x = 5,485.13

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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.