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Finding the Fourth Proportional to 10,596.85, 15,896.59 and 3,201.28

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Solution

The fourth proportional to 10,596.85, 15,896.59 and 3,201.28 is: 4,802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.85 : 15,896.59 = 3,201.28 : x
  2. Step 2: Convert to fraction form
    10,596.85/15,896.59 = 3,201.28/x
  3. Step 3: Cross multiply
    10,596.85x = 15,896.59 × 3,201.28
  4. Step 4: Simplify right side
    10,596.85x = 50,889,387.89
  5. Step 5: Solve for x
    x = 50,889,387.89/10,596.85
  6. Step 6: Final answer
    x = 4,802.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.