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Finding the Fourth Proportional to 13,102.86, 18,079.13 and 7,796.64

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Solution

The fourth proportional to 13,102.86, 18,079.13 and 7,796.64 is: 10,757.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.86 : 18,079.13 = 7,796.64 : x
  2. Step 2: Convert to fraction form
    13,102.86/18,079.13 = 7,796.64/x
  3. Step 3: Cross multiply
    13,102.86x = 18,079.13 × 7,796.64
  4. Step 4: Simplify right side
    13,102.86x = 140,956,487.61
  5. Step 5: Solve for x
    x = 140,956,487.61/13,102.86
  6. Step 6: Final answer
    x = 10,757.69

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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.