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Finding the Fourth Proportional to 11,832.77, 16,330.96 and 7,798.97

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Solution

The fourth proportional to 11,832.77, 16,330.96 and 7,798.97 is: 10,763.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.77 : 16,330.96 = 7,798.97 : x
  2. Step 2: Convert to fraction form
    11,832.77/16,330.96 = 7,798.97/x
  3. Step 3: Cross multiply
    11,832.77x = 16,330.96 × 7,798.97
  4. Step 4: Simplify right side
    11,832.77x = 127,364,667.11
  5. Step 5: Solve for x
    x = 127,364,667.11/11,832.77
  6. Step 6: Final answer
    x = 10,763.72

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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.