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Finding the Fourth Proportional to 10,503.10, 15,757.71 and 3,107.73

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Solution

The fourth proportional to 10,503.10, 15,757.71 and 3,107.73 is: 4,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.10 : 15,757.71 = 3,107.73 : x
  2. Step 2: Convert to fraction form
    10,503.10/15,757.71 = 3,107.73/x
  3. Step 3: Cross multiply
    10,503.10x = 15,757.71 × 3,107.73
  4. Step 4: Simplify right side
    10,503.10x = 48,970,708.10
  5. Step 5: Solve for x
    x = 48,970,708.10/10,503.10
  6. Step 6: Final answer
    x = 4,662.50

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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.