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Finding the Fourth Proportional to 6,814.67, 10,214.72 and 3,524.45

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Solution

The fourth proportional to 6,814.67, 10,214.72 and 3,524.45 is: 5,282.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.67 : 10,214.72 = 3,524.45 : x
  2. Step 2: Convert to fraction form
    6,814.67/10,214.72 = 3,524.45/x
  3. Step 3: Cross multiply
    6,814.67x = 10,214.72 × 3,524.45
  4. Step 4: Simplify right side
    6,814.67x = 36,001,277.82
  5. Step 5: Solve for x
    x = 36,001,277.82/6,814.67
  6. Step 6: Final answer
    x = 5,282.91

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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.