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Finding the Fourth Proportional to 7,497.38, 11,238.84 and 2,816.12

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Solution

The fourth proportional to 7,497.38, 11,238.84 and 2,816.12 is: 4,221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.38 : 11,238.84 = 2,816.12 : x
  2. Step 2: Convert to fraction form
    7,497.38/11,238.84 = 2,816.12/x
  3. Step 3: Cross multiply
    7,497.38x = 11,238.84 × 2,816.12
  4. Step 4: Simplify right side
    7,497.38x = 31,649,865.91
  5. Step 5: Solve for x
    x = 31,649,865.91/7,497.38
  6. Step 6: Final answer
    x = 4,221.46

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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.