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Finding the Fourth Proportional to 10,872.32, 16,309.76 and 3,850.88

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Solution

The fourth proportional to 10,872.32, 16,309.76 and 3,850.88 is: 5,776.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.32 : 16,309.76 = 3,850.88 : x
  2. Step 2: Convert to fraction form
    10,872.32/16,309.76 = 3,850.88/x
  3. Step 3: Cross multiply
    10,872.32x = 16,309.76 × 3,850.88
  4. Step 4: Simplify right side
    10,872.32x = 62,806,827.79
  5. Step 5: Solve for x
    x = 62,806,827.79/10,872.32
  6. Step 6: Final answer
    x = 5,776.77

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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.