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Finding the Fourth Proportional to 11,832.96, 17,752.14 and 4,041.78

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Solution

The fourth proportional to 11,832.96, 17,752.14 and 4,041.78 is: 6,063.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.96 : 17,752.14 = 4,041.78 : x
  2. Step 2: Convert to fraction form
    11,832.96/17,752.14 = 4,041.78/x
  3. Step 3: Cross multiply
    11,832.96x = 17,752.14 × 4,041.78
  4. Step 4: Simplify right side
    11,832.96x = 71,750,244.41
  5. Step 5: Solve for x
    x = 71,750,244.41/11,832.96
  6. Step 6: Final answer
    x = 6,063.59

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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.