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Finding the Fourth Proportional to 11,811.60, 16,301.17 and 8,822.25

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Solution

The fourth proportional to 11,811.60, 16,301.17 and 8,822.25 is: 12,175.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.60 : 16,301.17 = 8,822.25 : x
  2. Step 2: Convert to fraction form
    11,811.60/16,301.17 = 8,822.25/x
  3. Step 3: Cross multiply
    11,811.60x = 16,301.17 × 8,822.25
  4. Step 4: Simplify right side
    11,811.60x = 143,812,997.03
  5. Step 5: Solve for x
    x = 143,812,997.03/11,811.60
  6. Step 6: Final answer
    x = 12,175.57

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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.