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Finding the Fourth Proportional to 8,005.12, 12,012.80 and 7,149.76

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Solution

The fourth proportional to 8,005.12, 12,012.80 and 7,149.76 is: 10,729.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.12 : 12,012.80 = 7,149.76 : x
  2. Step 2: Convert to fraction form
    8,005.12/12,012.80 = 7,149.76/x
  3. Step 3: Cross multiply
    8,005.12x = 12,012.80 × 7,149.76
  4. Step 4: Simplify right side
    8,005.12x = 85,888,636.93
  5. Step 5: Solve for x
    x = 85,888,636.93/8,005.12
  6. Step 6: Final answer
    x = 10,729.21

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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.