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Finding the Fourth Proportional to 10,335.50, 15,503.28 and 3,410.54

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Solution

The fourth proportional to 10,335.50, 15,503.28 and 3,410.54 is: 5,115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.50 : 15,503.28 = 3,410.54 : x
  2. Step 2: Convert to fraction form
    10,335.50/15,503.28 = 3,410.54/x
  3. Step 3: Cross multiply
    10,335.50x = 15,503.28 × 3,410.54
  4. Step 4: Simplify right side
    10,335.50x = 52,874,556.57
  5. Step 5: Solve for x
    x = 52,874,556.57/10,335.50
  6. Step 6: Final answer
    x = 5,115.82

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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.