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Finding the Fourth Proportional to 10,723.59, 16,073.46 and 4,144.32

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Solution

The fourth proportional to 10,723.59, 16,073.46 and 4,144.32 is: 6,211.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,723.59 : 16,073.46 = 4,144.32 : x
  2. Step 2: Convert to fraction form
    10,723.59/16,073.46 = 4,144.32/x
  3. Step 3: Cross multiply
    10,723.59x = 16,073.46 × 4,144.32
  4. Step 4: Simplify right side
    10,723.59x = 66,613,561.75
  5. Step 5: Solve for x
    x = 66,613,561.75/10,723.59
  6. Step 6: Final answer
    x = 6,211.87

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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.