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Finding the Fourth Proportional to 8,275, 12,412.40 and 3,344.60

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Solution

The fourth proportional to 8,275, 12,412.40 and 3,344.60 is: 5,016.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275 : 12,412.40 = 3,344.60 : x
  2. Step 2: Convert to fraction form
    8,275/12,412.40 = 3,344.60/x
  3. Step 3: Cross multiply
    8,275x = 12,412.40 × 3,344.60
  4. Step 4: Simplify right side
    8,275x = 41,514,513.04
  5. Step 5: Solve for x
    x = 41,514,513.04/8,275
  6. Step 6: Final answer
    x = 5,016.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.