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Finding the Fourth Proportional to 7,096.96, 10,636.80 and 3,200.32

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Solution

The fourth proportional to 7,096.96, 10,636.80 and 3,200.32 is: 4,796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.96 : 10,636.80 = 3,200.32 : x
  2. Step 2: Convert to fraction form
    7,096.96/10,636.80 = 3,200.32/x
  3. Step 3: Cross multiply
    7,096.96x = 10,636.80 × 3,200.32
  4. Step 4: Simplify right side
    7,096.96x = 34,041,163.78
  5. Step 5: Solve for x
    x = 34,041,163.78/7,096.96
  6. Step 6: Final answer
    x = 4,796.58

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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.