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Finding the Fourth Proportional to 7,092.82, 10,637.86 and 2,709.24

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Solution

The fourth proportional to 7,092.82, 10,637.86 and 2,709.24 is: 4,063.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.82 : 10,637.86 = 2,709.24 : x
  2. Step 2: Convert to fraction form
    7,092.82/10,637.86 = 2,709.24/x
  3. Step 3: Cross multiply
    7,092.82x = 10,637.86 × 2,709.24
  4. Step 4: Simplify right side
    7,092.82x = 28,820,515.83
  5. Step 5: Solve for x
    x = 28,820,515.83/7,092.82
  6. Step 6: Final answer
    x = 4,063.34

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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.