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Finding the Fourth Proportional to 11,402.60, 17,108.01 and 8,141.27

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Solution

The fourth proportional to 11,402.60, 17,108.01 and 8,141.27 is: 12,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.60 : 17,108.01 = 8,141.27 : x
  2. Step 2: Convert to fraction form
    11,402.60/17,108.01 = 8,141.27/x
  3. Step 3: Cross multiply
    11,402.60x = 17,108.01 × 8,141.27
  4. Step 4: Simplify right side
    11,402.60x = 139,280,843.03
  5. Step 5: Solve for x
    x = 139,280,843.03/11,402.60
  6. Step 6: Final answer
    x = 12,214.84

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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.