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Finding the Fourth Proportional to 10,876.16, 16,316.64 and 3,481.22

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Solution

The fourth proportional to 10,876.16, 16,316.64 and 3,481.22 is: 5,222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.16 : 16,316.64 = 3,481.22 : x
  2. Step 2: Convert to fraction form
    10,876.16/16,316.64 = 3,481.22/x
  3. Step 3: Cross multiply
    10,876.16x = 16,316.64 × 3,481.22
  4. Step 4: Simplify right side
    10,876.16x = 56,801,813.50
  5. Step 5: Solve for x
    x = 56,801,813.50/10,876.16
  6. Step 6: Final answer
    x = 5,222.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.