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Finding the Fourth Proportional to 10,138.54, 15,207.82 and 3,212.50

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Solution

The fourth proportional to 10,138.54, 15,207.82 and 3,212.50 is: 4,818.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.54 : 15,207.82 = 3,212.50 : x
  2. Step 2: Convert to fraction form
    10,138.54/15,207.82 = 3,212.50/x
  3. Step 3: Cross multiply
    10,138.54x = 15,207.82 × 3,212.50
  4. Step 4: Simplify right side
    10,138.54x = 48,855,121.75
  5. Step 5: Solve for x
    x = 48,855,121.75/10,138.54
  6. Step 6: Final answer
    x = 4,818.75

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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.