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Finding the Fourth Proportional to 11,511.68, 17,265.02 and 4,116.65

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Solution

The fourth proportional to 11,511.68, 17,265.02 and 4,116.65 is: 6,174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.68 : 17,265.02 = 4,116.65 : x
  2. Step 2: Convert to fraction form
    11,511.68/17,265.02 = 4,116.65/x
  3. Step 3: Cross multiply
    11,511.68x = 17,265.02 × 4,116.65
  4. Step 4: Simplify right side
    11,511.68x = 71,073,937.67
  5. Step 5: Solve for x
    x = 71,073,937.67/11,511.68
  6. Step 6: Final answer
    x = 6,174.07

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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.