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Finding the Fourth Proportional to 8,680.08, 11,998.66 and 7,745.12

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Solution

The fourth proportional to 8,680.08, 11,998.66 and 7,745.12 is: 10,706.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,680.08 : 11,998.66 = 7,745.12 : x
  2. Step 2: Convert to fraction form
    8,680.08/11,998.66 = 7,745.12/x
  3. Step 3: Cross multiply
    8,680.08x = 11,998.66 × 7,745.12
  4. Step 4: Simplify right side
    8,680.08x = 92,931,061.54
  5. Step 5: Solve for x
    x = 92,931,061.54/8,680.08
  6. Step 6: Final answer
    x = 10,706.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.