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Finding the Fourth Proportional to 11,486.19, 15,850.38 and 6,449.79

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Solution

The fourth proportional to 11,486.19, 15,850.38 and 6,449.79 is: 8,900.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.19 : 15,850.38 = 6,449.79 : x
  2. Step 2: Convert to fraction form
    11,486.19/15,850.38 = 6,449.79/x
  3. Step 3: Cross multiply
    11,486.19x = 15,850.38 × 6,449.79
  4. Step 4: Simplify right side
    11,486.19x = 102,231,622.42
  5. Step 5: Solve for x
    x = 102,231,622.42/11,486.19
  6. Step 6: Final answer
    x = 8,900.39

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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.