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Finding the Fourth Proportional to 7,538.90, 11,309.87 and 2,608.43

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Solution

The fourth proportional to 7,538.90, 11,309.87 and 2,608.43 is: 3,913.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.90 : 11,309.87 = 2,608.43 : x
  2. Step 2: Convert to fraction form
    7,538.90/11,309.87 = 2,608.43/x
  3. Step 3: Cross multiply
    7,538.90x = 11,309.87 × 2,608.43
  4. Step 4: Simplify right side
    7,538.90x = 29,500,954.18
  5. Step 5: Solve for x
    x = 29,500,954.18/7,538.90
  6. Step 6: Final answer
    x = 3,913.17

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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.