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Finding the Fourth Proportional to 10,906.53, 16,349.40 and 3,505.80

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Solution

The fourth proportional to 10,906.53, 16,349.40 and 3,505.80 is: 5,255.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.53 : 16,349.40 = 3,505.80 : x
  2. Step 2: Convert to fraction form
    10,906.53/16,349.40 = 3,505.80/x
  3. Step 3: Cross multiply
    10,906.53x = 16,349.40 × 3,505.80
  4. Step 4: Simplify right side
    10,906.53x = 57,317,726.52
  5. Step 5: Solve for x
    x = 57,317,726.52/10,906.53
  6. Step 6: Final answer
    x = 5,255.36

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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.