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Finding the Fourth Proportional to 8,000.19, 12,002.22 and 3,002.61

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Solution

The fourth proportional to 8,000.19, 12,002.22 and 3,002.61 is: 4,504.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.19 : 12,002.22 = 3,002.61 : x
  2. Step 2: Convert to fraction form
    8,000.19/12,002.22 = 3,002.61/x
  3. Step 3: Cross multiply
    8,000.19x = 12,002.22 × 3,002.61
  4. Step 4: Simplify right side
    8,000.19x = 36,037,985.79
  5. Step 5: Solve for x
    x = 36,037,985.79/8,000.19
  6. Step 6: Final answer
    x = 4,504.64

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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.