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Finding the Fourth Proportional to 11,790.01, 17,680.96 and 3,997

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Solution

The fourth proportional to 11,790.01, 17,680.96 and 3,997 is: 5,994.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,790.01 : 17,680.96 = 3,997 : x
  2. Step 2: Convert to fraction form
    11,790.01/17,680.96 = 3,997/x
  3. Step 3: Cross multiply
    11,790.01x = 17,680.96 × 3,997
  4. Step 4: Simplify right side
    11,790.01x = 70,670,797.12
  5. Step 5: Solve for x
    x = 70,670,797.12/11,790.01
  6. Step 6: Final answer
    x = 5,994.13

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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.