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Finding the Fourth Proportional to 10,861.50, 16,294.38 and 4,621.44

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Solution

The fourth proportional to 10,861.50, 16,294.38 and 4,621.44 is: 6,933.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.50 : 16,294.38 = 4,621.44 : x
  2. Step 2: Convert to fraction form
    10,861.50/16,294.38 = 4,621.44/x
  3. Step 3: Cross multiply
    10,861.50x = 16,294.38 × 4,621.44
  4. Step 4: Simplify right side
    10,861.50x = 75,303,499.51
  5. Step 5: Solve for x
    x = 75,303,499.51/10,861.50
  6. Step 6: Final answer
    x = 6,933.07

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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.