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Finding the Fourth Proportional to 11,612.98, 17,419.47 and 4,216.06

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Solution

The fourth proportional to 11,612.98, 17,419.47 and 4,216.06 is: 6,324.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.98 : 17,419.47 = 4,216.06 : x
  2. Step 2: Convert to fraction form
    11,612.98/17,419.47 = 4,216.06/x
  3. Step 3: Cross multiply
    11,612.98x = 17,419.47 × 4,216.06
  4. Step 4: Simplify right side
    11,612.98x = 73,441,530.69
  5. Step 5: Solve for x
    x = 73,441,530.69/11,612.98
  6. Step 6: Final answer
    x = 6,324.09

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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.