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Finding the Fourth Proportional to 8,174.70, 11,285.61 and 5,626.17

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Solution

The fourth proportional to 8,174.70, 11,285.61 and 5,626.17 is: 7,767.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.70 : 11,285.61 = 5,626.17 : x
  2. Step 2: Convert to fraction form
    8,174.70/11,285.61 = 5,626.17/x
  3. Step 3: Cross multiply
    8,174.70x = 11,285.61 × 5,626.17
  4. Step 4: Simplify right side
    8,174.70x = 63,494,760.41
  5. Step 5: Solve for x
    x = 63,494,760.41/8,174.70
  6. Step 6: Final answer
    x = 7,767.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.