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Finding the Fourth Proportional to 11,772.09, 17,665.02 and 4,381.79

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Solution

The fourth proportional to 11,772.09, 17,665.02 and 4,381.79 is: 6,575.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.09 : 17,665.02 = 4,381.79 : x
  2. Step 2: Convert to fraction form
    11,772.09/17,665.02 = 4,381.79/x
  3. Step 3: Cross multiply
    11,772.09x = 17,665.02 × 4,381.79
  4. Step 4: Simplify right side
    11,772.09x = 77,404,319.66
  5. Step 5: Solve for x
    x = 77,404,319.66/11,772.09
  6. Step 6: Final answer
    x = 6,575.24

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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.