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Finding the Fourth Proportional to 11,913.58, 17,869 and 3,149.19

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Solution

The fourth proportional to 11,913.58, 17,869 and 3,149.19 is: 4,723.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.58 : 17,869 = 3,149.19 : x
  2. Step 2: Convert to fraction form
    11,913.58/17,869 = 3,149.19/x
  3. Step 3: Cross multiply
    11,913.58x = 17,869 × 3,149.19
  4. Step 4: Simplify right side
    11,913.58x = 56,272,876.11
  5. Step 5: Solve for x
    x = 56,272,876.11/11,913.58
  6. Step 6: Final answer
    x = 4,723.42

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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.