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Finding the Fourth Proportional to 8,692.64, 13,039.40 and 2,770.17

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Solution

The fourth proportional to 8,692.64, 13,039.40 and 2,770.17 is: 4,155.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.64 : 13,039.40 = 2,770.17 : x
  2. Step 2: Convert to fraction form
    8,692.64/13,039.40 = 2,770.17/x
  3. Step 3: Cross multiply
    8,692.64x = 13,039.40 × 2,770.17
  4. Step 4: Simplify right side
    8,692.64x = 36,121,340.85
  5. Step 5: Solve for x
    x = 36,121,340.85/8,692.64
  6. Step 6: Final answer
    x = 4,155.40

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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.