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Finding the Fourth Proportional to 7,194.61, 10,789.86 and 3,638.35

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Solution

The fourth proportional to 7,194.61, 10,789.86 and 3,638.35 is: 5,456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.61 : 10,789.86 = 3,638.35 : x
  2. Step 2: Convert to fraction form
    7,194.61/10,789.86 = 3,638.35/x
  3. Step 3: Cross multiply
    7,194.61x = 10,789.86 × 3,638.35
  4. Step 4: Simplify right side
    7,194.61x = 39,257,287.13
  5. Step 5: Solve for x
    x = 39,257,287.13/7,194.61
  6. Step 6: Final answer
    x = 5,456.49

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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.