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Finding the Fourth Proportional to 7,194.83, 10,780.37 and 3,290.63

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Solution

The fourth proportional to 7,194.83, 10,780.37 and 3,290.63 is: 4,930.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.83 : 10,780.37 = 3,290.63 : x
  2. Step 2: Convert to fraction form
    7,194.83/10,780.37 = 3,290.63/x
  3. Step 3: Cross multiply
    7,194.83x = 10,780.37 × 3,290.63
  4. Step 4: Simplify right side
    7,194.83x = 35,474,208.93
  5. Step 5: Solve for x
    x = 35,474,208.93/7,194.83
  6. Step 6: Final answer
    x = 4,930.51

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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.