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Finding the Fourth Proportional to 10,622.70, 15,932.76 and 2,832.12

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Solution

The fourth proportional to 10,622.70, 15,932.76 and 2,832.12 is: 4,247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.70 : 15,932.76 = 2,832.12 : x
  2. Step 2: Convert to fraction form
    10,622.70/15,932.76 = 2,832.12/x
  3. Step 3: Cross multiply
    10,622.70x = 15,932.76 × 2,832.12
  4. Step 4: Simplify right side
    10,622.70x = 45,123,488.25
  5. Step 5: Solve for x
    x = 45,123,488.25/10,622.70
  6. Step 6: Final answer
    x = 4,247.84

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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.