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Finding the Fourth Proportional to 10,357.38, 15,535.98 and 6,198.54

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Solution

The fourth proportional to 10,357.38, 15,535.98 and 6,198.54 is: 9,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.38 : 15,535.98 = 6,198.54 : x
  2. Step 2: Convert to fraction form
    10,357.38/15,535.98 = 6,198.54/x
  3. Step 3: Cross multiply
    10,357.38x = 15,535.98 × 6,198.54
  4. Step 4: Simplify right side
    10,357.38x = 96,300,393.47
  5. Step 5: Solve for x
    x = 96,300,393.47/10,357.38
  6. Step 6: Final answer
    x = 9,297.76

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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.