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Finding the Fourth Proportional to 8,158.12, 11,173.85 and 7,679.38

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Solution

The fourth proportional to 8,158.12, 11,173.85 and 7,679.38 is: 10,518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.12 : 11,173.85 = 7,679.38 : x
  2. Step 2: Convert to fraction form
    8,158.12/11,173.85 = 7,679.38/x
  3. Step 3: Cross multiply
    8,158.12x = 11,173.85 × 7,679.38
  4. Step 4: Simplify right side
    8,158.12x = 85,808,240.21
  5. Step 5: Solve for x
    x = 85,808,240.21/8,158.12
  6. Step 6: Final answer
    x = 10,518.14

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Why These Related Problems?

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