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Finding the Fourth Proportional to 8,272.48, 12,405.68 and 3,340.80

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Solution

The fourth proportional to 8,272.48, 12,405.68 and 3,340.80 is: 5,009.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.48 : 12,405.68 = 3,340.80 : x
  2. Step 2: Convert to fraction form
    8,272.48/12,405.68 = 3,340.80/x
  3. Step 3: Cross multiply
    8,272.48x = 12,405.68 × 3,340.80
  4. Step 4: Simplify right side
    8,272.48x = 41,444,895.74
  5. Step 5: Solve for x
    x = 41,444,895.74/8,272.48
  6. Step 6: Final answer
    x = 5,009.97

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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.