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Finding the Fourth Proportional to 8,184.66, 11,310.17 and 6,692.01

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Solution

The fourth proportional to 8,184.66, 11,310.17 and 6,692.01 is: 9,247.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.66 : 11,310.17 = 6,692.01 : x
  2. Step 2: Convert to fraction form
    8,184.66/11,310.17 = 6,692.01/x
  3. Step 3: Cross multiply
    8,184.66x = 11,310.17 × 6,692.01
  4. Step 4: Simplify right side
    8,184.66x = 75,687,737.28
  5. Step 5: Solve for x
    x = 75,687,737.28/8,184.66
  6. Step 6: Final answer
    x = 9,247.51

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Why These Related Problems?

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