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Finding the Fourth Proportional to 11,226.15, 15,492 and 6,190.38

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Solution

The fourth proportional to 11,226.15, 15,492 and 6,190.38 is: 8,542.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,226.15 : 15,492 = 6,190.38 : x
  2. Step 2: Convert to fraction form
    11,226.15/15,492 = 6,190.38/x
  3. Step 3: Cross multiply
    11,226.15x = 15,492 × 6,190.38
  4. Step 4: Simplify right side
    11,226.15x = 95,901,366.96
  5. Step 5: Solve for x
    x = 95,901,366.96/11,226.15
  6. Step 6: Final answer
    x = 8,542.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.