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Finding the Fourth Proportional to 10,930.75, 16,398.90 and 3,139.57

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Solution

The fourth proportional to 10,930.75, 16,398.90 and 3,139.57 is: 4,710.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.75 : 16,398.90 = 3,139.57 : x
  2. Step 2: Convert to fraction form
    10,930.75/16,398.90 = 3,139.57/x
  3. Step 3: Cross multiply
    10,930.75x = 16,398.90 × 3,139.57
  4. Step 4: Simplify right side
    10,930.75x = 51,485,494.47
  5. Step 5: Solve for x
    x = 51,485,494.47/10,930.75
  6. Step 6: Final answer
    x = 4,710.15

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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.