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Finding the Fourth Proportional to 8,499.53, 12,692.07 and 6,942.65

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Solution

The fourth proportional to 8,499.53, 12,692.07 and 6,942.65 is: 10,367.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.53 : 12,692.07 = 6,942.65 : x
  2. Step 2: Convert to fraction form
    8,499.53/12,692.07 = 6,942.65/x
  3. Step 3: Cross multiply
    8,499.53x = 12,692.07 × 6,942.65
  4. Step 4: Simplify right side
    8,499.53x = 88,116,536.33
  5. Step 5: Solve for x
    x = 88,116,536.33/8,499.53
  6. Step 6: Final answer
    x = 10,367.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.