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Finding the Fourth Proportional to 8,200.06, 11,315.07 and 5,174.04

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Solution

The fourth proportional to 8,200.06, 11,315.07 and 5,174.04 is: 7,139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.06 : 11,315.07 = 5,174.04 : x
  2. Step 2: Convert to fraction form
    8,200.06/11,315.07 = 5,174.04/x
  3. Step 3: Cross multiply
    8,200.06x = 11,315.07 × 5,174.04
  4. Step 4: Simplify right side
    8,200.06x = 58,544,624.78
  5. Step 5: Solve for x
    x = 58,544,624.78/8,200.06
  6. Step 6: Final answer
    x = 7,139.54

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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.