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Finding the Fourth Proportional to 10,795.20, 16,198.24 and 5,323.20

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Solution

The fourth proportional to 10,795.20, 16,198.24 and 5,323.20 is: 7,987.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,795.20 : 16,198.24 = 5,323.20 : x
  2. Step 2: Convert to fraction form
    10,795.20/16,198.24 = 5,323.20/x
  3. Step 3: Cross multiply
    10,795.20x = 16,198.24 × 5,323.20
  4. Step 4: Simplify right side
    10,795.20x = 86,226,471.17
  5. Step 5: Solve for x
    x = 86,226,471.17/10,795.20
  6. Step 6: Final answer
    x = 7,987.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.