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Finding the Fourth Proportional to 6,814.80, 10,197.50 and 5,633.82

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Solution

The fourth proportional to 6,814.80, 10,197.50 and 5,633.82 is: 8,430.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.80 : 10,197.50 = 5,633.82 : x
  2. Step 2: Convert to fraction form
    6,814.80/10,197.50 = 5,633.82/x
  3. Step 3: Cross multiply
    6,814.80x = 10,197.50 × 5,633.82
  4. Step 4: Simplify right side
    6,814.80x = 57,450,851.28
  5. Step 5: Solve for x
    x = 57,450,851.28/6,814.80
  6. Step 6: Final answer
    x = 8,430.31

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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.