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Finding the Fourth Proportional to 7,311.66, 10,963.53 and 3,792.94

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Solution

The fourth proportional to 7,311.66, 10,963.53 and 3,792.94 is: 5,687.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.66 : 10,963.53 = 3,792.94 : x
  2. Step 2: Convert to fraction form
    7,311.66/10,963.53 = 3,792.94/x
  3. Step 3: Cross multiply
    7,311.66x = 10,963.53 × 3,792.94
  4. Step 4: Simplify right side
    7,311.66x = 41,584,011.48
  5. Step 5: Solve for x
    x = 41,584,011.48/7,311.66
  6. Step 6: Final answer
    x = 5,687.36

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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.