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Finding the Fourth Proportional to 10,833.56, 16,252.74 and 3,438.44

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Solution

The fourth proportional to 10,833.56, 16,252.74 and 3,438.44 is: 5,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.56 : 16,252.74 = 3,438.44 : x
  2. Step 2: Convert to fraction form
    10,833.56/16,252.74 = 3,438.44/x
  3. Step 3: Cross multiply
    10,833.56x = 16,252.74 × 3,438.44
  4. Step 4: Simplify right side
    10,833.56x = 55,884,071.33
  5. Step 5: Solve for x
    x = 55,884,071.33/10,833.56
  6. Step 6: Final answer
    x = 5,158.42

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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.