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Finding the Fourth Proportional to 11,853.14, 17,764.32 and 4,824.96

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Solution

The fourth proportional to 11,853.14, 17,764.32 and 4,824.96 is: 7,231.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.14 : 17,764.32 = 4,824.96 : x
  2. Step 2: Convert to fraction form
    11,853.14/17,764.32 = 4,824.96/x
  3. Step 3: Cross multiply
    11,853.14x = 17,764.32 × 4,824.96
  4. Step 4: Simplify right side
    11,853.14x = 85,712,133.43
  5. Step 5: Solve for x
    x = 85,712,133.43/11,853.14
  6. Step 6: Final answer
    x = 7,231.18

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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.