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Finding the Fourth Proportional to 8,305.52, 12,453.92 and 2,461.28

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Solution

The fourth proportional to 8,305.52, 12,453.92 and 2,461.28 is: 3,690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.52 : 12,453.92 = 2,461.28 : x
  2. Step 2: Convert to fraction form
    8,305.52/12,453.92 = 2,461.28/x
  3. Step 3: Cross multiply
    8,305.52x = 12,453.92 × 2,461.28
  4. Step 4: Simplify right side
    8,305.52x = 30,652,584.22
  5. Step 5: Solve for x
    x = 30,652,584.22/8,305.52
  6. Step 6: Final answer
    x = 3,690.63

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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.