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Finding the Fourth Proportional to 10,406.87, 15,602.99 and 3,832.20

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Solution

The fourth proportional to 10,406.87, 15,602.99 and 3,832.20 is: 5,745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.87 : 15,602.99 = 3,832.20 : x
  2. Step 2: Convert to fraction form
    10,406.87/15,602.99 = 3,832.20/x
  3. Step 3: Cross multiply
    10,406.87x = 15,602.99 × 3,832.20
  4. Step 4: Simplify right side
    10,406.87x = 59,793,759.12
  5. Step 5: Solve for x
    x = 59,793,759.12/10,406.87
  6. Step 6: Final answer
    x = 5,745.61

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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.