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Finding the Fourth Proportional to 11,663.76, 16,091.14 and 6,881.81

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Solution

The fourth proportional to 11,663.76, 16,091.14 and 6,881.81 is: 9,494.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.76 : 16,091.14 = 6,881.81 : x
  2. Step 2: Convert to fraction form
    11,663.76/16,091.14 = 6,881.81/x
  3. Step 3: Cross multiply
    11,663.76x = 16,091.14 × 6,881.81
  4. Step 4: Simplify right side
    11,663.76x = 110,736,104.91
  5. Step 5: Solve for x
    x = 110,736,104.91/11,663.76
  6. Step 6: Final answer
    x = 9,494.03

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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.