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Finding the Fourth Proportional to 6,814.62, 10,221.45 and 3,883.74

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Solution

The fourth proportional to 6,814.62, 10,221.45 and 3,883.74 is: 5,825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.62 : 10,221.45 = 3,883.74 : x
  2. Step 2: Convert to fraction form
    6,814.62/10,221.45 = 3,883.74/x
  3. Step 3: Cross multiply
    6,814.62x = 10,221.45 × 3,883.74
  4. Step 4: Simplify right side
    6,814.62x = 39,697,454.22
  5. Step 5: Solve for x
    x = 39,697,454.22/6,814.62
  6. Step 6: Final answer
    x = 5,825.34

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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.