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Finding the Fourth Proportional to 7,182.33, 9,901.20 and 5,189.73

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Solution

The fourth proportional to 7,182.33, 9,901.20 and 5,189.73 is: 7,154.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.33 : 9,901.20 = 5,189.73 : x
  2. Step 2: Convert to fraction form
    7,182.33/9,901.20 = 5,189.73/x
  3. Step 3: Cross multiply
    7,182.33x = 9,901.20 × 5,189.73
  4. Step 4: Simplify right side
    7,182.33x = 51,384,554.68
  5. Step 5: Solve for x
    x = 51,384,554.68/7,182.33
  6. Step 6: Final answer
    x = 7,154.30

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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.