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Finding the Fourth Proportional to 8,382.96, 12,556.80 and 6,730.56

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Solution

The fourth proportional to 8,382.96, 12,556.80 and 6,730.56 is: 10,081.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.96 : 12,556.80 = 6,730.56 : x
  2. Step 2: Convert to fraction form
    8,382.96/12,556.80 = 6,730.56/x
  3. Step 3: Cross multiply
    8,382.96x = 12,556.80 × 6,730.56
  4. Step 4: Simplify right side
    8,382.96x = 84,514,295.81
  5. Step 5: Solve for x
    x = 84,514,295.81/8,382.96
  6. Step 6: Final answer
    x = 10,081.68

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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.