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Finding the Fourth Proportional to 10,876.64, 16,315.70 and 3,481.74

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Solution

The fourth proportional to 10,876.64, 16,315.70 and 3,481.74 is: 5,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.64 : 16,315.70 = 3,481.74 : x
  2. Step 2: Convert to fraction form
    10,876.64/16,315.70 = 3,481.74/x
  3. Step 3: Cross multiply
    10,876.64x = 16,315.70 × 3,481.74
  4. Step 4: Simplify right side
    10,876.64x = 56,807,007.91
  5. Step 5: Solve for x
    x = 56,807,007.91/10,876.64
  6. Step 6: Final answer
    x = 5,222.85

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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.