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Finding the Fourth Proportional to 11,486.46, 15,849.38 and 6,771.68

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Solution

The fourth proportional to 11,486.46, 15,849.38 and 6,771.68 is: 9,343.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.46 : 15,849.38 = 6,771.68 : x
  2. Step 2: Convert to fraction form
    11,486.46/15,849.38 = 6,771.68/x
  3. Step 3: Cross multiply
    11,486.46x = 15,849.38 × 6,771.68
  4. Step 4: Simplify right side
    11,486.46x = 107,326,929.56
  5. Step 5: Solve for x
    x = 107,326,929.56/11,486.46
  6. Step 6: Final answer
    x = 9,343.78

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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.