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Finding the Fourth Proportional to 10,252.68, 15,379.02 and 6,789.12

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Solution

The fourth proportional to 10,252.68, 15,379.02 and 6,789.12 is: 10,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.68 : 15,379.02 = 6,789.12 : x
  2. Step 2: Convert to fraction form
    10,252.68/15,379.02 = 6,789.12/x
  3. Step 3: Cross multiply
    10,252.68x = 15,379.02 × 6,789.12
  4. Step 4: Simplify right side
    10,252.68x = 104,410,012.26
  5. Step 5: Solve for x
    x = 104,410,012.26/10,252.68
  6. Step 6: Final answer
    x = 10,183.68

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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.