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Finding the Fourth Proportional to 11,764.77, 16,223.97 and 7,944.81

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Solution

The fourth proportional to 11,764.77, 16,223.97 and 7,944.81 is: 10,956.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.77 : 16,223.97 = 7,944.81 : x
  2. Step 2: Convert to fraction form
    11,764.77/16,223.97 = 7,944.81/x
  3. Step 3: Cross multiply
    11,764.77x = 16,223.97 × 7,944.81
  4. Step 4: Simplify right side
    11,764.77x = 128,896,359.10
  5. Step 5: Solve for x
    x = 128,896,359.10/11,764.77
  6. Step 6: Final answer
    x = 10,956.13

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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.