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Finding the Fourth Proportional to 8,149.90, 12,222.72 and 2,884.40

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Solution

The fourth proportional to 8,149.90, 12,222.72 and 2,884.40 is: 4,325.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.90 : 12,222.72 = 2,884.40 : x
  2. Step 2: Convert to fraction form
    8,149.90/12,222.72 = 2,884.40/x
  3. Step 3: Cross multiply
    8,149.90x = 12,222.72 × 2,884.40
  4. Step 4: Simplify right side
    8,149.90x = 35,255,152.45
  5. Step 5: Solve for x
    x = 35,255,152.45/8,149.90
  6. Step 6: Final answer
    x = 4,325.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.