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Finding the Fourth Proportional to 11,661.29, 17,476.30 and 6,388.32

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Solution

The fourth proportional to 11,661.29, 17,476.30 and 6,388.32 is: 9,573.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.29 : 17,476.30 = 6,388.32 : x
  2. Step 2: Convert to fraction form
    11,661.29/17,476.30 = 6,388.32/x
  3. Step 3: Cross multiply
    11,661.29x = 17,476.30 × 6,388.32
  4. Step 4: Simplify right side
    11,661.29x = 111,644,196.82
  5. Step 5: Solve for x
    x = 111,644,196.82/11,661.29
  6. Step 6: Final answer
    x = 9,573.91

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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.