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Finding the Fourth Proportional to 10,688.68, 16,033.10 and 3,293.20

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Solution

The fourth proportional to 10,688.68, 16,033.10 and 3,293.20 is: 4,939.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.68 : 16,033.10 = 3,293.20 : x
  2. Step 2: Convert to fraction form
    10,688.68/16,033.10 = 3,293.20/x
  3. Step 3: Cross multiply
    10,688.68x = 16,033.10 × 3,293.20
  4. Step 4: Simplify right side
    10,688.68x = 52,800,204.92
  5. Step 5: Solve for x
    x = 52,800,204.92/10,688.68
  6. Step 6: Final answer
    x = 4,939.82

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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.