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Finding the Fourth Proportional to 8,311.95, 11,462.85 and 6,192.72

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Solution

The fourth proportional to 8,311.95, 11,462.85 and 6,192.72 is: 8,540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.95 : 11,462.85 = 6,192.72 : x
  2. Step 2: Convert to fraction form
    8,311.95/11,462.85 = 6,192.72/x
  3. Step 3: Cross multiply
    8,311.95x = 11,462.85 × 6,192.72
  4. Step 4: Simplify right side
    8,311.95x = 70,986,220.45
  5. Step 5: Solve for x
    x = 70,986,220.45/8,311.95
  6. Step 6: Final answer
    x = 8,540.26

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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.