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Finding the Fourth Proportional to 11,994.30, 17,982.56 and 5,748.36

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Solution

The fourth proportional to 11,994.30, 17,982.56 and 5,748.36 is: 8,618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,994.30 : 17,982.56 = 5,748.36 : x
  2. Step 2: Convert to fraction form
    11,994.30/17,982.56 = 5,748.36/x
  3. Step 3: Cross multiply
    11,994.30x = 17,982.56 × 5,748.36
  4. Step 4: Simplify right side
    11,994.30x = 103,370,199.86
  5. Step 5: Solve for x
    x = 103,370,199.86/11,994.30
  6. Step 6: Final answer
    x = 8,618.28

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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.