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Finding the Fourth Proportional to 10,144.62, 15,216.12 and 6,012.81

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Solution

The fourth proportional to 10,144.62, 15,216.12 and 6,012.81 is: 9,018.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.62 : 15,216.12 = 6,012.81 : x
  2. Step 2: Convert to fraction form
    10,144.62/15,216.12 = 6,012.81/x
  3. Step 3: Cross multiply
    10,144.62x = 15,216.12 × 6,012.81
  4. Step 4: Simplify right side
    10,144.62x = 91,491,638.50
  5. Step 5: Solve for x
    x = 91,491,638.50/10,144.62
  6. Step 6: Final answer
    x = 9,018.73

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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.