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Finding the Fourth Proportional to 8,692.44, 11,992.42 and 5,709.88

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Solution

The fourth proportional to 8,692.44, 11,992.42 and 5,709.88 is: 7,877.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.44 : 11,992.42 = 5,709.88 : x
  2. Step 2: Convert to fraction form
    8,692.44/11,992.42 = 5,709.88/x
  3. Step 3: Cross multiply
    8,692.44x = 11,992.42 × 5,709.88
  4. Step 4: Simplify right side
    8,692.44x = 68,475,279.11
  5. Step 5: Solve for x
    x = 68,475,279.11/8,692.44
  6. Step 6: Final answer
    x = 7,877.57

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1.5x scale

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.