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Finding the Fourth Proportional to 10,596.88, 15,895.92 and 3,202.08

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Solution

The fourth proportional to 10,596.88, 15,895.92 and 3,202.08 is: 4,803.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.88 : 15,895.92 = 3,202.08 : x
  2. Step 2: Convert to fraction form
    10,596.88/15,895.92 = 3,202.08/x
  3. Step 3: Cross multiply
    10,596.88x = 15,895.92 × 3,202.08
  4. Step 4: Simplify right side
    10,596.88x = 50,900,007.51
  5. Step 5: Solve for x
    x = 50,900,007.51/10,596.88
  6. Step 6: Final answer
    x = 4,803.30

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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.