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Finding the Fourth Proportional to 10,841.53, 16,252.44 and 3,914.41

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Solution

The fourth proportional to 10,841.53, 16,252.44 and 3,914.41 is: 5,868.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,841.53 : 16,252.44 = 3,914.41 : x
  2. Step 2: Convert to fraction form
    10,841.53/16,252.44 = 3,914.41/x
  3. Step 3: Cross multiply
    10,841.53x = 16,252.44 × 3,914.41
  4. Step 4: Simplify right side
    10,841.53x = 63,618,713.66
  5. Step 5: Solve for x
    x = 63,618,713.66/10,841.53
  6. Step 6: Final answer
    x = 5,868.06

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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.