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Finding the Fourth Proportional to 7,814.10, 11,722.17 and 2,887.20

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Solution

The fourth proportional to 7,814.10, 11,722.17 and 2,887.20 is: 4,331.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.10 : 11,722.17 = 2,887.20 : x
  2. Step 2: Convert to fraction form
    7,814.10/11,722.17 = 2,887.20/x
  3. Step 3: Cross multiply
    7,814.10x = 11,722.17 × 2,887.20
  4. Step 4: Simplify right side
    7,814.10x = 33,844,249.22
  5. Step 5: Solve for x
    x = 33,844,249.22/7,814.10
  6. Step 6: Final answer
    x = 4,331.18

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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.