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Finding the Fourth Proportional to 6,814.52, 10,221.75 and 1,884.15

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Solution

The fourth proportional to 6,814.52, 10,221.75 and 1,884.15 is: 2,826.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.52 : 10,221.75 = 1,884.15 : x
  2. Step 2: Convert to fraction form
    6,814.52/10,221.75 = 1,884.15/x
  3. Step 3: Cross multiply
    6,814.52x = 10,221.75 × 1,884.15
  4. Step 4: Simplify right side
    6,814.52x = 19,259,310.26
  5. Step 5: Solve for x
    x = 19,259,310.26/6,814.52
  6. Step 6: Final answer
    x = 2,826.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.