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Finding the Fourth Proportional to 10,824.52, 16,236.74 and 3,899

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Solution

The fourth proportional to 10,824.52, 16,236.74 and 3,899 is: 5,848.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824.52 : 16,236.74 = 3,899 : x
  2. Step 2: Convert to fraction form
    10,824.52/16,236.74 = 3,899/x
  3. Step 3: Cross multiply
    10,824.52x = 16,236.74 × 3,899
  4. Step 4: Simplify right side
    10,824.52x = 63,307,049.26
  5. Step 5: Solve for x
    x = 63,307,049.26/10,824.52
  6. Step 6: Final answer
    x = 5,848.49

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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.