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Finding the Fourth Proportional to 7,792.92, 11,687.64 and 2,246.28

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Solution

The fourth proportional to 7,792.92, 11,687.64 and 2,246.28 is: 3,368.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.92 : 11,687.64 = 2,246.28 : x
  2. Step 2: Convert to fraction form
    7,792.92/11,687.64 = 2,246.28/x
  3. Step 3: Cross multiply
    7,792.92x = 11,687.64 × 2,246.28
  4. Step 4: Simplify right side
    7,792.92x = 26,253,711.98
  5. Step 5: Solve for x
    x = 26,253,711.98/7,792.92
  6. Step 6: Final answer
    x = 3,368.92

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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.