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Finding the Fourth Proportional to 7,735.39, 11,603.38 and 2,189.22

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Solution

The fourth proportional to 7,735.39, 11,603.38 and 2,189.22 is: 3,283.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.39 : 11,603.38 = 2,189.22 : x
  2. Step 2: Convert to fraction form
    7,735.39/11,603.38 = 2,189.22/x
  3. Step 3: Cross multiply
    7,735.39x = 11,603.38 × 2,189.22
  4. Step 4: Simplify right side
    7,735.39x = 25,402,346.09
  5. Step 5: Solve for x
    x = 25,402,346.09/7,735.39
  6. Step 6: Final answer
    x = 3,283.91

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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.