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Finding the Fourth Proportional to 6,997.87, 10,490.85 and 3,100.15

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Solution

The fourth proportional to 6,997.87, 10,490.85 and 3,100.15 is: 4,647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.87 : 10,490.85 = 3,100.15 : x
  2. Step 2: Convert to fraction form
    6,997.87/10,490.85 = 3,100.15/x
  3. Step 3: Cross multiply
    6,997.87x = 10,490.85 × 3,100.15
  4. Step 4: Simplify right side
    6,997.87x = 32,523,208.63
  5. Step 5: Solve for x
    x = 32,523,208.63/6,997.87
  6. Step 6: Final answer
    x = 4,647.59

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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.