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Finding the Fourth Proportional to 11,792.52, 17,663.82 and 8,077.32

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Solution

The fourth proportional to 11,792.52, 17,663.82 and 8,077.32 is: 12,098.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.52 : 17,663.82 = 8,077.32 : x
  2. Step 2: Convert to fraction form
    11,792.52/17,663.82 = 8,077.32/x
  3. Step 3: Cross multiply
    11,792.52x = 17,663.82 × 8,077.32
  4. Step 4: Simplify right side
    11,792.52x = 142,676,326.56
  5. Step 5: Solve for x
    x = 142,676,326.56/11,792.52
  6. Step 6: Final answer
    x = 12,098.88

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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.