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Finding the Fourth Proportional to 10,930.50, 16,398.52 and 3,139.31

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Solution

The fourth proportional to 10,930.50, 16,398.52 and 3,139.31 is: 4,709.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.50 : 16,398.52 = 3,139.31 : x
  2. Step 2: Convert to fraction form
    10,930.50/16,398.52 = 3,139.31/x
  3. Step 3: Cross multiply
    10,930.50x = 16,398.52 × 3,139.31
  4. Step 4: Simplify right side
    10,930.50x = 51,480,070.97
  5. Step 5: Solve for x
    x = 51,480,070.97/10,930.50
  6. Step 6: Final answer
    x = 4,709.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.