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Finding the Fourth Proportional to 6,995.82, 10,497.38 and 2,838.90

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Solution

The fourth proportional to 6,995.82, 10,497.38 and 2,838.90 is: 4,259.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.82 : 10,497.38 = 2,838.90 : x
  2. Step 2: Convert to fraction form
    6,995.82/10,497.38 = 2,838.90/x
  3. Step 3: Cross multiply
    6,995.82x = 10,497.38 × 2,838.90
  4. Step 4: Simplify right side
    6,995.82x = 29,801,012.08
  5. Step 5: Solve for x
    x = 29,801,012.08/6,995.82
  6. Step 6: Final answer
    x = 4,259.83

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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.