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Finding the Fourth Proportional to 11,511.69, 17,265 and 4,116.66

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Solution

The fourth proportional to 11,511.69, 17,265 and 4,116.66 is: 6,174.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.69 : 17,265 = 4,116.66 : x
  2. Step 2: Convert to fraction form
    11,511.69/17,265 = 4,116.66/x
  3. Step 3: Cross multiply
    11,511.69x = 17,265 × 4,116.66
  4. Step 4: Simplify right side
    11,511.69x = 71,074,134.90
  5. Step 5: Solve for x
    x = 71,074,134.90/11,511.69
  6. Step 6: Final answer
    x = 6,174.08

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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.