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Finding the Fourth Proportional to 10,224.50, 15,322.16 and 8,135.10

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Solution

The fourth proportional to 10,224.50, 15,322.16 and 8,135.10 is: 12,191.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.50 : 15,322.16 = 8,135.10 : x
  2. Step 2: Convert to fraction form
    10,224.50/15,322.16 = 8,135.10/x
  3. Step 3: Cross multiply
    10,224.50x = 15,322.16 × 8,135.10
  4. Step 4: Simplify right side
    10,224.50x = 124,647,324.15
  5. Step 5: Solve for x
    x = 124,647,324.15/10,224.50
  6. Step 6: Final answer
    x = 12,191.05

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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.