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Finding the Fourth Proportional to 7,814.96, 11,720.52 and 2,267.12

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Solution

The fourth proportional to 7,814.96, 11,720.52 and 2,267.12 is: 3,400.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.96 : 11,720.52 = 2,267.12 : x
  2. Step 2: Convert to fraction form
    7,814.96/11,720.52 = 2,267.12/x
  3. Step 3: Cross multiply
    7,814.96x = 11,720.52 × 2,267.12
  4. Step 4: Simplify right side
    7,814.96x = 26,571,825.30
  5. Step 5: Solve for x
    x = 26,571,825.30/7,814.96
  6. Step 6: Final answer
    x = 3,400.12

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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.