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Finding the Fourth Proportional to 11,494.93, 17,242.27 and 8,103.76

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Solution

The fourth proportional to 11,494.93, 17,242.27 and 8,103.76 is: 12,155.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.93 : 17,242.27 = 8,103.76 : x
  2. Step 2: Convert to fraction form
    11,494.93/17,242.27 = 8,103.76/x
  3. Step 3: Cross multiply
    11,494.93x = 17,242.27 × 8,103.76
  4. Step 4: Simplify right side
    11,494.93x = 139,727,251.56
  5. Step 5: Solve for x
    x = 139,727,251.56/11,494.93
  6. Step 6: Final answer
    x = 12,155.56

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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.