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Finding the Fourth Proportional to 10,111.72, 13,954.18 and 5,863.60

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Solution

The fourth proportional to 10,111.72, 13,954.18 and 5,863.60 is: 8,091.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111.72 : 13,954.18 = 5,863.60 : x
  2. Step 2: Convert to fraction form
    10,111.72/13,954.18 = 5,863.60/x
  3. Step 3: Cross multiply
    10,111.72x = 13,954.18 × 5,863.60
  4. Step 4: Simplify right side
    10,111.72x = 81,821,729.85
  5. Step 5: Solve for x
    x = 81,821,729.85/10,111.72
  6. Step 6: Final answer
    x = 8,091.77

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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.