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Finding the Fourth Proportional to 6,792.24, 10,188.90 and 2,896.68

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Solution

The fourth proportional to 6,792.24, 10,188.90 and 2,896.68 is: 4,345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,792.24 : 10,188.90 = 2,896.68 : x
  2. Step 2: Convert to fraction form
    6,792.24/10,188.90 = 2,896.68/x
  3. Step 3: Cross multiply
    6,792.24x = 10,188.90 × 2,896.68
  4. Step 4: Simplify right side
    6,792.24x = 29,513,982.85
  5. Step 5: Solve for x
    x = 29,513,982.85/6,792.24
  6. Step 6: Final answer
    x = 4,345.25

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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.