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Finding the Fourth Proportional to 6,811.97, 10,210.46 and 3,883.82

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Solution

The fourth proportional to 6,811.97, 10,210.46 and 3,883.82 is: 5,821.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.97 : 10,210.46 = 3,883.82 : x
  2. Step 2: Convert to fraction form
    6,811.97/10,210.46 = 3,883.82/x
  3. Step 3: Cross multiply
    6,811.97x = 10,210.46 × 3,883.82
  4. Step 4: Simplify right side
    6,811.97x = 39,655,518.29
  5. Step 5: Solve for x
    x = 39,655,518.29/6,811.97
  6. Step 6: Final answer
    x = 5,821.45

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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.