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Finding the Fourth Proportional to 11,596.91, 17,394.62 and 5,671.49

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Solution

The fourth proportional to 11,596.91, 17,394.62 and 5,671.49 is: 8,506.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.91 : 17,394.62 = 5,671.49 : x
  2. Step 2: Convert to fraction form
    11,596.91/17,394.62 = 5,671.49/x
  3. Step 3: Cross multiply
    11,596.91x = 17,394.62 × 5,671.49
  4. Step 4: Simplify right side
    11,596.91x = 98,653,298.05
  5. Step 5: Solve for x
    x = 98,653,298.05/11,596.91
  6. Step 6: Final answer
    x = 8,506.86

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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.