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Finding the Fourth Proportional to 10,596.10, 15,894.26 and 3,200.62

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Solution

The fourth proportional to 10,596.10, 15,894.26 and 3,200.62 is: 4,800.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.10 : 15,894.26 = 3,200.62 : x
  2. Step 2: Convert to fraction form
    10,596.10/15,894.26 = 3,200.62/x
  3. Step 3: Cross multiply
    10,596.10x = 15,894.26 × 3,200.62
  4. Step 4: Simplify right side
    10,596.10x = 50,871,486.44
  5. Step 5: Solve for x
    x = 50,871,486.44/10,596.10
  6. Step 6: Final answer
    x = 4,800.96

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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.