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Finding the Fourth Proportional to 10,882.60, 16,358.70 and 10,112.20

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Solution

The fourth proportional to 10,882.60, 16,358.70 and 10,112.20 is: 15,200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.60 : 16,358.70 = 10,112.20 : x
  2. Step 2: Convert to fraction form
    10,882.60/16,358.70 = 10,112.20/x
  3. Step 3: Cross multiply
    10,882.60x = 16,358.70 × 10,112.20
  4. Step 4: Simplify right side
    10,882.60x = 165,422,446.14
  5. Step 5: Solve for x
    x = 165,422,446.14/10,882.60
  6. Step 6: Final answer
    x = 15,200.64

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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.