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Finding the Fourth Proportional to 10,596.65, 15,895.10 and 3,201.17

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Solution

The fourth proportional to 10,596.65, 15,895.10 and 3,201.17 is: 4,801.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.65 : 15,895.10 = 3,201.17 : x
  2. Step 2: Convert to fraction form
    10,596.65/15,895.10 = 3,201.17/x
  3. Step 3: Cross multiply
    10,596.65x = 15,895.10 × 3,201.17
  4. Step 4: Simplify right side
    10,596.65x = 50,882,917.27
  5. Step 5: Solve for x
    x = 50,882,917.27/10,596.65
  6. Step 6: Final answer
    x = 4,801.79

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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.