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Finding the Fourth Proportional to 11,500.86, 17,251.29 and 7,422.78

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Solution

The fourth proportional to 11,500.86, 17,251.29 and 7,422.78 is: 11,134.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.86 : 17,251.29 = 7,422.78 : x
  2. Step 2: Convert to fraction form
    11,500.86/17,251.29 = 7,422.78/x
  3. Step 3: Cross multiply
    11,500.86x = 17,251.29 × 7,422.78
  4. Step 4: Simplify right side
    11,500.86x = 128,052,530.39
  5. Step 5: Solve for x
    x = 128,052,530.39/11,500.86
  6. Step 6: Final answer
    x = 11,134.17

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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.