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Finding the Fourth Proportional to 11,853.34, 17,773.62 and 5,917.30

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Solution

The fourth proportional to 11,853.34, 17,773.62 and 5,917.30 is: 8,872.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.34 : 17,773.62 = 5,917.30 : x
  2. Step 2: Convert to fraction form
    11,853.34/17,773.62 = 5,917.30/x
  3. Step 3: Cross multiply
    11,853.34x = 17,773.62 × 5,917.30
  4. Step 4: Simplify right side
    11,853.34x = 105,171,841.63
  5. Step 5: Solve for x
    x = 105,171,841.63/11,853.34
  6. Step 6: Final answer
    x = 8,872.76

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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.