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Finding the Fourth Proportional to 6,688.92, 10,033.02 and 2,306.46

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Solution

The fourth proportional to 6,688.92, 10,033.02 and 2,306.46 is: 3,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.92 : 10,033.02 = 2,306.46 : x
  2. Step 2: Convert to fraction form
    6,688.92/10,033.02 = 2,306.46/x
  3. Step 3: Cross multiply
    6,688.92x = 10,033.02 × 2,306.46
  4. Step 4: Simplify right side
    6,688.92x = 23,140,759.31
  5. Step 5: Solve for x
    x = 23,140,759.31/6,688.92
  6. Step 6: Final answer
    x = 3,459.57

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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.