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Finding the Fourth Proportional to 10,847.33, 16,259.91 and 6,157.44

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Solution

The fourth proportional to 10,847.33, 16,259.91 and 6,157.44 is: 9,229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847.33 : 16,259.91 = 6,157.44 : x
  2. Step 2: Convert to fraction form
    10,847.33/16,259.91 = 6,157.44/x
  3. Step 3: Cross multiply
    10,847.33x = 16,259.91 × 6,157.44
  4. Step 4: Simplify right side
    10,847.33x = 100,119,420.23
  5. Step 5: Solve for x
    x = 100,119,420.23/10,847.33
  6. Step 6: Final answer
    x = 9,229.87

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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.