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Finding the Fourth Proportional to 10,811.13, 14,919.35 and 5,843.13

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Solution

The fourth proportional to 10,811.13, 14,919.35 and 5,843.13 is: 8,063.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.13 : 14,919.35 = 5,843.13 : x
  2. Step 2: Convert to fraction form
    10,811.13/14,919.35 = 5,843.13/x
  3. Step 3: Cross multiply
    10,811.13x = 14,919.35 × 5,843.13
  4. Step 4: Simplify right side
    10,811.13x = 87,175,701.57
  5. Step 5: Solve for x
    x = 87,175,701.57/10,811.13
  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.