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Finding the Fourth Proportional to 8,158.86, 11,174.88 and 7,680.12

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Solution

The fourth proportional to 8,158.86, 11,174.88 and 7,680.12 is: 10,519.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.86 : 11,174.88 = 7,680.12 : x
  2. Step 2: Convert to fraction form
    8,158.86/11,174.88 = 7,680.12/x
  3. Step 3: Cross multiply
    8,158.86x = 11,174.88 × 7,680.12
  4. Step 4: Simplify right side
    8,158.86x = 85,824,419.39
  5. Step 5: Solve for x
    x = 85,824,419.39/8,158.86
  6. Step 6: Final answer
    x = 10,519.17

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.