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Finding the Fourth Proportional to 6,763.97, 10,148.03 and 3,208.84

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Solution

The fourth proportional to 6,763.97, 10,148.03 and 3,208.84 is: 4,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.97 : 10,148.03 = 3,208.84 : x
  2. Step 2: Convert to fraction form
    6,763.97/10,148.03 = 3,208.84/x
  3. Step 3: Cross multiply
    6,763.97x = 10,148.03 × 3,208.84
  4. Step 4: Simplify right side
    6,763.97x = 32,563,404.59
  5. Step 5: Solve for x
    x = 32,563,404.59/6,763.97
  6. Step 6: Final answer
    x = 4,814.24

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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.