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Finding the Fourth Proportional to 7,389, 11,083.86 and 2,194.92

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Solution

The fourth proportional to 7,389, 11,083.86 and 2,194.92 is: 3,292.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,389 : 11,083.86 = 2,194.92 : x
  2. Step 2: Convert to fraction form
    7,389/11,083.86 = 2,194.92/x
  3. Step 3: Cross multiply
    7,389x = 11,083.86 × 2,194.92
  4. Step 4: Simplify right side
    7,389x = 24,328,185.99
  5. Step 5: Solve for x
    x = 24,328,185.99/7,389
  6. Step 6: Final answer
    x = 3,292.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.