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Finding the Fourth Proportional to 10,811.12, 14,919.36 and 5,843.12

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Solution

The fourth proportional to 10,811.12, 14,919.36 and 5,843.12 is: 8,063.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.12 : 14,919.36 = 5,843.12 : x
  2. Step 2: Convert to fraction form
    10,811.12/14,919.36 = 5,843.12/x
  3. Step 3: Cross multiply
    10,811.12x = 14,919.36 × 5,843.12
  4. Step 4: Simplify right side
    10,811.12x = 87,175,610.80
  5. Step 5: Solve for x
    x = 87,175,610.80/10,811.12
  6. Step 6: Final answer
    x = 8,063.51

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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.