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Finding the Fourth Proportional to 10,767.52, 16,157.34 and 4,194.16

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Solution

The fourth proportional to 10,767.52, 16,157.34 and 4,194.16 is: 6,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.52 : 16,157.34 = 4,194.16 : x
  2. Step 2: Convert to fraction form
    10,767.52/16,157.34 = 4,194.16/x
  3. Step 3: Cross multiply
    10,767.52x = 16,157.34 × 4,194.16
  4. Step 4: Simplify right side
    10,767.52x = 67,766,469.13
  5. Step 5: Solve for x
    x = 67,766,469.13/10,767.52
  6. Step 6: Final answer
    x = 6,293.60

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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.