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Finding the Fourth Proportional to 8,338.50, 12,509.75 and 2,495.27

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Solution

The fourth proportional to 8,338.50, 12,509.75 and 2,495.27 is: 3,743.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.50 : 12,509.75 = 2,495.27 : x
  2. Step 2: Convert to fraction form
    8,338.50/12,509.75 = 2,495.27/x
  3. Step 3: Cross multiply
    8,338.50x = 12,509.75 × 2,495.27
  4. Step 4: Simplify right side
    8,338.50x = 31,215,241.40
  5. Step 5: Solve for x
    x = 31,215,241.40/8,338.50
  6. Step 6: Final answer
    x = 3,743.51

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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.