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Finding the Fourth Proportional to 11,653.43, 16,081.92 and 6,348.24

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Solution

The fourth proportional to 11,653.43, 16,081.92 and 6,348.24 is: 8,760.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.43 : 16,081.92 = 6,348.24 : x
  2. Step 2: Convert to fraction form
    11,653.43/16,081.92 = 6,348.24/x
  3. Step 3: Cross multiply
    11,653.43x = 16,081.92 × 6,348.24
  4. Step 4: Simplify right side
    11,653.43x = 102,091,887.82
  5. Step 5: Solve for x
    x = 102,091,887.82/11,653.43
  6. Step 6: Final answer
    x = 8,760.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.