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Finding the Fourth Proportional to 11,653.54, 16,081.74 and 6,348.34

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Solution

The fourth proportional to 11,653.54, 16,081.74 and 6,348.34 is: 8,760.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.54 : 16,081.74 = 6,348.34 : x
  2. Step 2: Convert to fraction form
    11,653.54/16,081.74 = 6,348.34/x
  3. Step 3: Cross multiply
    11,653.54x = 16,081.74 × 6,348.34
  4. Step 4: Simplify right side
    11,653.54x = 102,092,353.31
  5. Step 5: Solve for x
    x = 102,092,353.31/11,653.54
  6. Step 6: Final answer
    x = 8,760.63

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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.