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Finding the Fourth Proportional to 10,780.97, 16,166.01 and 3,283.10

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Solution

The fourth proportional to 10,780.97, 16,166.01 and 3,283.10 is: 4,922.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780.97 : 16,166.01 = 3,283.10 : x
  2. Step 2: Convert to fraction form
    10,780.97/16,166.01 = 3,283.10/x
  3. Step 3: Cross multiply
    10,780.97x = 16,166.01 × 3,283.10
  4. Step 4: Simplify right side
    10,780.97x = 53,074,546.60
  5. Step 5: Solve for x
    x = 53,074,546.60/10,780.97
  6. Step 6: Final answer
    x = 4,922.99

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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.