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Finding the Fourth Proportional to 10,589.12, 15,883.80 and 3,662

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Solution

The fourth proportional to 10,589.12, 15,883.80 and 3,662 is: 5,493.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.12 : 15,883.80 = 3,662 : x
  2. Step 2: Convert to fraction form
    10,589.12/15,883.80 = 3,662/x
  3. Step 3: Cross multiply
    10,589.12x = 15,883.80 × 3,662
  4. Step 4: Simplify right side
    10,589.12x = 58,166,475.60
  5. Step 5: Solve for x
    x = 58,166,475.60/10,589.12
  6. Step 6: Final answer
    x = 5,493.04

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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.