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Finding the Fourth Proportional to 10,876.67, 16,302.44 and 4,944.67

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Solution

The fourth proportional to 10,876.67, 16,302.44 and 4,944.67 is: 7,411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.67 : 16,302.44 = 4,944.67 : x
  2. Step 2: Convert to fraction form
    10,876.67/16,302.44 = 4,944.67/x
  3. Step 3: Cross multiply
    10,876.67x = 16,302.44 × 4,944.67
  4. Step 4: Simplify right side
    10,876.67x = 80,610,157.60
  5. Step 5: Solve for x
    x = 80,610,157.60/10,876.67
  6. Step 6: Final answer
    x = 7,411.29

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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.