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Finding the Fourth Proportional to 10,406.44, 15,611.10 and 4,249

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Solution

The fourth proportional to 10,406.44, 15,611.10 and 4,249 is: 6,374.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.44 : 15,611.10 = 4,249 : x
  2. Step 2: Convert to fraction form
    10,406.44/15,611.10 = 4,249/x
  3. Step 3: Cross multiply
    10,406.44x = 15,611.10 × 4,249
  4. Step 4: Simplify right side
    10,406.44x = 66,331,563.90
  5. Step 5: Solve for x
    x = 66,331,563.90/10,406.44
  6. Step 6: Final answer
    x = 6,374.09

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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.