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Finding the Fourth Proportional to 10,596.76, 15,896.63 and 3,200.38

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Solution

The fourth proportional to 10,596.76, 15,896.63 and 3,200.38 is: 4,801.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.76 : 15,896.63 = 3,200.38 : x
  2. Step 2: Convert to fraction form
    10,596.76/15,896.63 = 3,200.38/x
  3. Step 3: Cross multiply
    10,596.76x = 15,896.63 × 3,200.38
  4. Step 4: Simplify right side
    10,596.76x = 50,875,256.72
  5. Step 5: Solve for x
    x = 50,875,256.72/10,596.76
  6. Step 6: Final answer
    x = 4,801.02

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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.