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Finding the Fourth Proportional to 8,494.20, 12,734.64 and 4,110.48

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Solution

The fourth proportional to 8,494.20, 12,734.64 and 4,110.48 is: 6,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.20 : 12,734.64 = 4,110.48 : x
  2. Step 2: Convert to fraction form
    8,494.20/12,734.64 = 4,110.48/x
  3. Step 3: Cross multiply
    8,494.20x = 12,734.64 × 4,110.48
  4. Step 4: Simplify right side
    8,494.20x = 52,345,483.03
  5. Step 5: Solve for x
    x = 52,345,483.03/8,494.20
  6. Step 6: Final answer
    x = 6,162.50

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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.