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Finding the Fourth Proportional to 10,882.30, 16,323.30 and 3,091.12

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Solution

The fourth proportional to 10,882.30, 16,323.30 and 3,091.12 is: 4,636.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.30 : 16,323.30 = 3,091.12 : x
  2. Step 2: Convert to fraction form
    10,882.30/16,323.30 = 3,091.12/x
  3. Step 3: Cross multiply
    10,882.30x = 16,323.30 × 3,091.12
  4. Step 4: Simplify right side
    10,882.30x = 50,457,279.10
  5. Step 5: Solve for x
    x = 50,457,279.10/10,882.30
  6. Step 6: Final answer
    x = 4,636.64

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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.