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Finding the Fourth Proportional to 8,538.28, 12,807.40 and 3,340.52

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Solution

The fourth proportional to 8,538.28, 12,807.40 and 3,340.52 is: 5,010.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.28 : 12,807.40 = 3,340.52 : x
  2. Step 2: Convert to fraction form
    8,538.28/12,807.40 = 3,340.52/x
  3. Step 3: Cross multiply
    8,538.28x = 12,807.40 × 3,340.52
  4. Step 4: Simplify right side
    8,538.28x = 42,783,375.85
  5. Step 5: Solve for x
    x = 42,783,375.85/8,538.28
  6. Step 6: Final answer
    x = 5,010.77

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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.