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Finding the Fourth Proportional to 10,962.34, 16,447.34 and 3,467.05

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Solution

The fourth proportional to 10,962.34, 16,447.34 and 3,467.05 is: 5,201.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,962.34 : 16,447.34 = 3,467.05 : x
  2. Step 2: Convert to fraction form
    10,962.34/16,447.34 = 3,467.05/x
  3. Step 3: Cross multiply
    10,962.34x = 16,447.34 × 3,467.05
  4. Step 4: Simplify right side
    10,962.34x = 57,023,750.15
  5. Step 5: Solve for x
    x = 57,023,750.15/10,962.34
  6. Step 6: Final answer
    x = 5,201.79

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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.