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Finding the Fourth Proportional to 10,198.40, 15,295.92 and 3,272

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Solution

The fourth proportional to 10,198.40, 15,295.92 and 3,272 is: 4,907.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.40 : 15,295.92 = 3,272 : x
  2. Step 2: Convert to fraction form
    10,198.40/15,295.92 = 3,272/x
  3. Step 3: Cross multiply
    10,198.40x = 15,295.92 × 3,272
  4. Step 4: Simplify right side
    10,198.40x = 50,048,250.24
  5. Step 5: Solve for x
    x = 50,048,250.24/10,198.40
  6. Step 6: Final answer
    x = 4,907.46

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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.