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Finding the Fourth Proportional to 7,729.80, 11,594.08 and 2,182.92

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Solution

The fourth proportional to 7,729.80, 11,594.08 and 2,182.92 is: 3,274.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.80 : 11,594.08 = 2,182.92 : x
  2. Step 2: Convert to fraction form
    7,729.80/11,594.08 = 2,182.92/x
  3. Step 3: Cross multiply
    7,729.80x = 11,594.08 × 2,182.92
  4. Step 4: Simplify right side
    7,729.80x = 25,308,949.11
  5. Step 5: Solve for x
    x = 25,308,949.11/7,729.80
  6. Step 6: Final answer
    x = 3,274.20

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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.