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Finding the Fourth Proportional to 11,663.52, 17,502.66 and 6,120.86

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Solution

The fourth proportional to 11,663.52, 17,502.66 and 6,120.86 is: 9,185.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.52 : 17,502.66 = 6,120.86 : x
  2. Step 2: Convert to fraction form
    11,663.52/17,502.66 = 6,120.86/x
  3. Step 3: Cross multiply
    11,663.52x = 17,502.66 × 6,120.86
  4. Step 4: Simplify right side
    11,663.52x = 107,131,243.97
  5. Step 5: Solve for x
    x = 107,131,243.97/11,663.52
  6. Step 6: Final answer
    x = 9,185.16

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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.