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Finding the Fourth Proportional to 11,412.84, 17,121.40 and 4,016.46

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Solution

The fourth proportional to 11,412.84, 17,121.40 and 4,016.46 is: 6,025.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.84 : 17,121.40 = 4,016.46 : x
  2. Step 2: Convert to fraction form
    11,412.84/17,121.40 = 4,016.46/x
  3. Step 3: Cross multiply
    11,412.84x = 17,121.40 × 4,016.46
  4. Step 4: Simplify right side
    11,412.84x = 68,767,418.24
  5. Step 5: Solve for x
    x = 68,767,418.24/11,412.84
  6. Step 6: Final answer
    x = 6,025.44

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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.