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Finding the Fourth Proportional to 10,596.78, 15,898.04 and 3,201.48

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Solution

The fourth proportional to 10,596.78, 15,898.04 and 3,201.48 is: 4,803.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.78 : 15,898.04 = 3,201.48 : x
  2. Step 2: Convert to fraction form
    10,596.78/15,898.04 = 3,201.48/x
  3. Step 3: Cross multiply
    10,596.78x = 15,898.04 × 3,201.48
  4. Step 4: Simplify right side
    10,596.78x = 50,897,241.09
  5. Step 5: Solve for x
    x = 50,897,241.09/10,596.78
  6. Step 6: Final answer
    x = 4,803.09

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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.