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Finding the Fourth Proportional to 11,648.82, 16,074.81 and 6,343.32

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Solution

The fourth proportional to 11,648.82, 16,074.81 and 6,343.32 is: 8,753.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.82 : 16,074.81 = 6,343.32 : x
  2. Step 2: Convert to fraction form
    11,648.82/16,074.81 = 6,343.32/x
  3. Step 3: Cross multiply
    11,648.82x = 16,074.81 × 6,343.32
  4. Step 4: Simplify right side
    11,648.82x = 101,967,663.77
  5. Step 5: Solve for x
    x = 101,967,663.77/11,648.82
  6. Step 6: Final answer
    x = 8,753.48

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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.