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Finding the Fourth Proportional to 8,472.68, 11,692.30 and 4,696.09

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Solution

The fourth proportional to 8,472.68, 11,692.30 and 4,696.09 is: 6,480.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.68 : 11,692.30 = 4,696.09 : x
  2. Step 2: Convert to fraction form
    8,472.68/11,692.30 = 4,696.09/x
  3. Step 3: Cross multiply
    8,472.68x = 11,692.30 × 4,696.09
  4. Step 4: Simplify right side
    8,472.68x = 54,908,104.85
  5. Step 5: Solve for x
    x = 54,908,104.85/8,472.68
  6. Step 6: Final answer
    x = 6,480.60

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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.