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Finding the Fourth Proportional to 8,827.60, 13,219.80 and 4,205.20

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Solution

The fourth proportional to 8,827.60, 13,219.80 and 4,205.20 is: 6,297.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,827.60 : 13,219.80 = 4,205.20 : x
  2. Step 2: Convert to fraction form
    8,827.60/13,219.80 = 4,205.20/x
  3. Step 3: Cross multiply
    8,827.60x = 13,219.80 × 4,205.20
  4. Step 4: Simplify right side
    8,827.60x = 55,591,902.96
  5. Step 5: Solve for x
    x = 55,591,902.96/8,827.60
  6. Step 6: Final answer
    x = 6,297.51

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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.