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Finding the Fourth Proportional to 11,811.42, 17,717.04 and 3,492

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Solution

The fourth proportional to 11,811.42, 17,717.04 and 3,492 is: 5,237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.42 : 17,717.04 = 3,492 : x
  2. Step 2: Convert to fraction form
    11,811.42/17,717.04 = 3,492/x
  3. Step 3: Cross multiply
    11,811.42x = 17,717.04 × 3,492
  4. Step 4: Simplify right side
    11,811.42x = 61,867,903.68
  5. Step 5: Solve for x
    x = 61,867,903.68/11,811.42
  6. Step 6: Final answer
    x = 5,237.97

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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.