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Finding the Fourth Proportional to 7,735.71, 11,604.18 and 2,189.09

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Solution

The fourth proportional to 7,735.71, 11,604.18 and 2,189.09 is: 3,283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.71 : 11,604.18 = 2,189.09 : x
  2. Step 2: Convert to fraction form
    7,735.71/11,604.18 = 2,189.09/x
  3. Step 3: Cross multiply
    7,735.71x = 11,604.18 × 2,189.09
  4. Step 4: Simplify right side
    7,735.71x = 25,402,631.62
  5. Step 5: Solve for x
    x = 25,402,631.62/7,735.71
  6. Step 6: Final answer
    x = 3,283.81

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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.