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Finding the Fourth Proportional to 11,767.44, 17,655.72 and 5,188.98

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Solution

The fourth proportional to 11,767.44, 17,655.72 and 5,188.98 is: 7,785.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.44 : 17,655.72 = 5,188.98 : x
  2. Step 2: Convert to fraction form
    11,767.44/17,655.72 = 5,188.98/x
  3. Step 3: Cross multiply
    11,767.44x = 17,655.72 × 5,188.98
  4. Step 4: Simplify right side
    11,767.44x = 91,615,177.97
  5. Step 5: Solve for x
    x = 91,615,177.97/11,767.44
  6. Step 6: Final answer
    x = 7,785.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.