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Finding the Fourth Proportional to 8,493.63, 12,727.45 and 3,560.57

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Solution

The fourth proportional to 8,493.63, 12,727.45 and 3,560.57 is: 5,335.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.63 : 12,727.45 = 3,560.57 : x
  2. Step 2: Convert to fraction form
    8,493.63/12,727.45 = 3,560.57/x
  3. Step 3: Cross multiply
    8,493.63x = 12,727.45 × 3,560.57
  4. Step 4: Simplify right side
    8,493.63x = 45,317,016.75
  5. Step 5: Solve for x
    x = 45,317,016.75/8,493.63
  6. Step 6: Final answer
    x = 5,335.41

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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.