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Finding the Fourth Proportional to 7,197.34, 10,800.86 and 2,814.24

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Solution

The fourth proportional to 7,197.34, 10,800.86 and 2,814.24 is: 4,223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.34 : 10,800.86 = 2,814.24 : x
  2. Step 2: Convert to fraction form
    7,197.34/10,800.86 = 2,814.24/x
  3. Step 3: Cross multiply
    7,197.34x = 10,800.86 × 2,814.24
  4. Step 4: Simplify right side
    7,197.34x = 30,396,212.25
  5. Step 5: Solve for x
    x = 30,396,212.25/7,197.34
  6. Step 6: Final answer
    x = 4,223.26

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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.