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Finding the Fourth Proportional to 10,876.34, 16,316.94 and 3,481.24

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Solution

The fourth proportional to 10,876.34, 16,316.94 and 3,481.24 is: 5,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.34 : 16,316.94 = 3,481.24 : x
  2. Step 2: Convert to fraction form
    10,876.34/16,316.94 = 3,481.24/x
  3. Step 3: Cross multiply
    10,876.34x = 16,316.94 × 3,481.24
  4. Step 4: Simplify right side
    10,876.34x = 56,803,166.80
  5. Step 5: Solve for x
    x = 56,803,166.80/10,876.34
  6. Step 6: Final answer
    x = 5,222.64

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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.