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Finding the Fourth Proportional to 10,773.24, 16,157.10 and 4,195.80

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Solution

The fourth proportional to 10,773.24, 16,157.10 and 4,195.80 is: 6,292.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.24 : 16,157.10 = 4,195.80 : x
  2. Step 2: Convert to fraction form
    10,773.24/16,157.10 = 4,195.80/x
  3. Step 3: Cross multiply
    10,773.24x = 16,157.10 × 4,195.80
  4. Step 4: Simplify right side
    10,773.24x = 67,791,960.18
  5. Step 5: Solve for x
    x = 67,791,960.18/10,773.24
  6. Step 6: Final answer
    x = 6,292.63

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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.