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Finding the Fourth Proportional to 11,774.69, 17,658.39 and 3,453.15

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Solution

The fourth proportional to 11,774.69, 17,658.39 and 3,453.15 is: 5,178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.69 : 17,658.39 = 3,453.15 : x
  2. Step 2: Convert to fraction form
    11,774.69/17,658.39 = 3,453.15/x
  3. Step 3: Cross multiply
    11,774.69x = 17,658.39 × 3,453.15
  4. Step 4: Simplify right side
    11,774.69x = 60,977,069.43
  5. Step 5: Solve for x
    x = 60,977,069.43/11,774.69
  6. Step 6: Final answer
    x = 5,178.66

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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.