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Finding the Fourth Proportional to 10,930.34, 16,396.23 and 3,139.22

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Solution

The fourth proportional to 10,930.34, 16,396.23 and 3,139.22 is: 4,709.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.34 : 16,396.23 = 3,139.22 : x
  2. Step 2: Convert to fraction form
    10,930.34/16,396.23 = 3,139.22/x
  3. Step 3: Cross multiply
    10,930.34x = 16,396.23 × 3,139.22
  4. Step 4: Simplify right side
    10,930.34x = 51,471,373.14
  5. Step 5: Solve for x
    x = 51,471,373.14/10,930.34
  6. Step 6: Final answer
    x = 4,709.04

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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.