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Finding the Fourth Proportional to 7,456.68, 11,174.94 and 2,837.16

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Solution

The fourth proportional to 7,456.68, 11,174.94 and 2,837.16 is: 4,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.68 : 11,174.94 = 2,837.16 : x
  2. Step 2: Convert to fraction form
    7,456.68/11,174.94 = 2,837.16/x
  3. Step 3: Cross multiply
    7,456.68x = 11,174.94 × 2,837.16
  4. Step 4: Simplify right side
    7,456.68x = 31,705,092.77
  5. Step 5: Solve for x
    x = 31,705,092.77/7,456.68
  6. Step 6: Final answer
    x = 4,251.90

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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.