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Finding the Fourth Proportional to 6,688.68, 10,033.20 and 3,225.12

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Solution

The fourth proportional to 6,688.68, 10,033.20 and 3,225.12 is: 4,837.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.68 : 10,033.20 = 3,225.12 : x
  2. Step 2: Convert to fraction form
    6,688.68/10,033.20 = 3,225.12/x
  3. Step 3: Cross multiply
    6,688.68x = 10,033.20 × 3,225.12
  4. Step 4: Simplify right side
    6,688.68x = 32,358,273.98
  5. Step 5: Solve for x
    x = 32,358,273.98/6,688.68
  6. Step 6: Final answer
    x = 4,837.77

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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.