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Finding the Fourth Proportional to 11,659.16, 16,089.64 and 6,353.97

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Solution

The fourth proportional to 11,659.16, 16,089.64 and 6,353.97 is: 8,768.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.16 : 16,089.64 = 6,353.97 : x
  2. Step 2: Convert to fraction form
    11,659.16/16,089.64 = 6,353.97/x
  3. Step 3: Cross multiply
    11,659.16x = 16,089.64 × 6,353.97
  4. Step 4: Simplify right side
    11,659.16x = 102,233,089.87
  5. Step 5: Solve for x
    x = 102,233,089.87/11,659.16
  6. Step 6: Final answer
    x = 8,768.48

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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.