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Finding the Fourth Proportional to 10,838.99, 16,256.82 and 3,442.49

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Solution

The fourth proportional to 10,838.99, 16,256.82 and 3,442.49 is: 5,163.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.99 : 16,256.82 = 3,442.49 : x
  2. Step 2: Convert to fraction form
    10,838.99/16,256.82 = 3,442.49/x
  3. Step 3: Cross multiply
    10,838.99x = 16,256.82 × 3,442.49
  4. Step 4: Simplify right side
    10,838.99x = 55,963,940.28
  5. Step 5: Solve for x
    x = 55,963,940.28/10,838.99
  6. Step 6: Final answer
    x = 5,163.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.