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Finding the Fourth Proportional to 8,468.64, 11,687.19 and 4,692.25

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Solution

The fourth proportional to 8,468.64, 11,687.19 and 4,692.25 is: 6,475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.64 : 11,687.19 = 4,692.25 : x
  2. Step 2: Convert to fraction form
    8,468.64/11,687.19 = 4,692.25/x
  3. Step 3: Cross multiply
    8,468.64x = 11,687.19 × 4,692.25
  4. Step 4: Simplify right side
    8,468.64x = 54,839,214.29
  5. Step 5: Solve for x
    x = 54,839,214.29/8,468.64
  6. Step 6: Final answer
    x = 6,475.56

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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.