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Finding the Fourth Proportional to 8,070.67, 12,106.31 and 2,227.72

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Solution

The fourth proportional to 8,070.67, 12,106.31 and 2,227.72 is: 3,341.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070.67 : 12,106.31 = 2,227.72 : x
  2. Step 2: Convert to fraction form
    8,070.67/12,106.31 = 2,227.72/x
  3. Step 3: Cross multiply
    8,070.67x = 12,106.31 × 2,227.72
  4. Step 4: Simplify right side
    8,070.67x = 26,969,468.91
  5. Step 5: Solve for x
    x = 26,969,468.91/8,070.67
  6. Step 6: Final answer
    x = 3,341.66

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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.