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Finding the Fourth Proportional to 10,596.76, 15,895.26 and 3,201.28

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Solution

The fourth proportional to 10,596.76, 15,895.26 and 3,201.28 is: 4,801.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.76 : 15,895.26 = 3,201.28 : x
  2. Step 2: Convert to fraction form
    10,596.76/15,895.26 = 3,201.28/x
  3. Step 3: Cross multiply
    10,596.76x = 15,895.26 × 3,201.28
  4. Step 4: Simplify right side
    10,596.76x = 50,885,177.93
  5. Step 5: Solve for x
    x = 50,885,177.93/10,596.76
  6. Step 6: Final answer
    x = 4,801.96

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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.