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Finding the Fourth Proportional to 7,536.68, 11,301.66 and 2,342.12

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Solution

The fourth proportional to 7,536.68, 11,301.66 and 2,342.12 is: 3,512.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.68 : 11,301.66 = 2,342.12 : x
  2. Step 2: Convert to fraction form
    7,536.68/11,301.66 = 2,342.12/x
  3. Step 3: Cross multiply
    7,536.68x = 11,301.66 × 2,342.12
  4. Step 4: Simplify right side
    7,536.68x = 26,469,843.92
  5. Step 5: Solve for x
    x = 26,469,843.92/7,536.68
  6. Step 6: Final answer
    x = 3,512.14

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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.