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Finding the Fourth Proportional to 10,882.17, 16,323.84 and 3,091.59

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Solution

The fourth proportional to 10,882.17, 16,323.84 and 3,091.59 is: 4,637.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.17 : 16,323.84 = 3,091.59 : x
  2. Step 2: Convert to fraction form
    10,882.17/16,323.84 = 3,091.59/x
  3. Step 3: Cross multiply
    10,882.17x = 16,323.84 × 3,091.59
  4. Step 4: Simplify right side
    10,882.17x = 50,466,620.51
  5. Step 5: Solve for x
    x = 50,466,620.51/10,882.17
  6. Step 6: Final answer
    x = 4,637.55

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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.