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Finding the Fourth Proportional to 6,884.52, 10,319.40 and 5,236.98

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Solution

The fourth proportional to 6,884.52, 10,319.40 and 5,236.98 is: 7,849.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.52 : 10,319.40 = 5,236.98 : x
  2. Step 2: Convert to fraction form
    6,884.52/10,319.40 = 5,236.98/x
  3. Step 3: Cross multiply
    6,884.52x = 10,319.40 × 5,236.98
  4. Step 4: Simplify right side
    6,884.52x = 54,042,491.41
  5. Step 5: Solve for x
    x = 54,042,491.41/6,884.52
  6. Step 6: Final answer
    x = 7,849.86

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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.