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Finding the Fourth Proportional to 8,546.18, 12,820.19 and 3,616.32

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Solution

The fourth proportional to 8,546.18, 12,820.19 and 3,616.32 is: 5,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.18 : 12,820.19 = 3,616.32 : x
  2. Step 2: Convert to fraction form
    8,546.18/12,820.19 = 3,616.32/x
  3. Step 3: Cross multiply
    8,546.18x = 12,820.19 × 3,616.32
  4. Step 4: Simplify right side
    8,546.18x = 46,361,909.50
  5. Step 5: Solve for x
    x = 46,361,909.50/8,546.18
  6. Step 6: Final answer
    x = 5,424.87

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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.