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Finding the Fourth Proportional to 8,692.32, 13,038.93 and 2,452.80

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Solution

The fourth proportional to 8,692.32, 13,038.93 and 2,452.80 is: 3,679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.32 : 13,038.93 = 2,452.80 : x
  2. Step 2: Convert to fraction form
    8,692.32/13,038.93 = 2,452.80/x
  3. Step 3: Cross multiply
    8,692.32x = 13,038.93 × 2,452.80
  4. Step 4: Simplify right side
    8,692.32x = 31,981,887.50
  5. Step 5: Solve for x
    x = 31,981,887.50/8,692.32
  6. Step 6: Final answer
    x = 3,679.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.