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Finding the Fourth Proportional to 11,885.67, 16,402.77 and 7,170.21

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Solution

The fourth proportional to 11,885.67, 16,402.77 and 7,170.21 is: 9,895.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.67 : 16,402.77 = 7,170.21 : x
  2. Step 2: Convert to fraction form
    11,885.67/16,402.77 = 7,170.21/x
  3. Step 3: Cross multiply
    11,885.67x = 16,402.77 × 7,170.21
  4. Step 4: Simplify right side
    11,885.67x = 117,611,305.48
  5. Step 5: Solve for x
    x = 117,611,305.48/11,885.67
  6. Step 6: Final answer
    x = 9,895.22

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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.