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Finding the Fourth Proportional to 11,511.98, 17,267.46 and 3,614.31

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Solution

The fourth proportional to 11,511.98, 17,267.46 and 3,614.31 is: 5,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.98 : 17,267.46 = 3,614.31 : x
  2. Step 2: Convert to fraction form
    11,511.98/17,267.46 = 3,614.31/x
  3. Step 3: Cross multiply
    11,511.98x = 17,267.46 × 3,614.31
  4. Step 4: Simplify right side
    11,511.98x = 62,409,848.94
  5. Step 5: Solve for x
    x = 62,409,848.94/11,511.98
  6. Step 6: Final answer
    x = 5,421.30

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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.