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Finding the Fourth Proportional to 7,997.30, 11,994.99 and 2,454.47

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Solution

The fourth proportional to 7,997.30, 11,994.99 and 2,454.47 is: 3,681.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.30 : 11,994.99 = 2,454.47 : x
  2. Step 2: Convert to fraction form
    7,997.30/11,994.99 = 2,454.47/x
  3. Step 3: Cross multiply
    7,997.30x = 11,994.99 × 2,454.47
  4. Step 4: Simplify right side
    7,997.30x = 29,441,343.11
  5. Step 5: Solve for x
    x = 29,441,343.11/7,997.30
  6. Step 6: Final answer
    x = 3,681.41

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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.