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Finding the Fourth Proportional to 7,792.71, 11,693.67 and 3,114.92

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Solution

The fourth proportional to 7,792.71, 11,693.67 and 3,114.92 is: 4,674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.71 : 11,693.67 = 3,114.92 : x
  2. Step 2: Convert to fraction form
    7,792.71/11,693.67 = 3,114.92/x
  3. Step 3: Cross multiply
    7,792.71x = 11,693.67 × 3,114.92
  4. Step 4: Simplify right side
    7,792.71x = 36,424,846.56
  5. Step 5: Solve for x
    x = 36,424,846.56/7,792.71
  6. Step 6: Final answer
    x = 4,674.22

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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.