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Finding the Fourth Proportional to 11,514.84, 17,274.78 and 3,723.54

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Solution

The fourth proportional to 11,514.84, 17,274.78 and 3,723.54 is: 5,586.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514.84 : 17,274.78 = 3,723.54 : x
  2. Step 2: Convert to fraction form
    11,514.84/17,274.78 = 3,723.54/x
  3. Step 3: Cross multiply
    11,514.84x = 17,274.78 × 3,723.54
  4. Step 4: Simplify right side
    11,514.84x = 64,323,334.32
  5. Step 5: Solve for x
    x = 64,323,334.32/11,514.84
  6. Step 6: Final answer
    x = 5,586.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.