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Finding the Fourth Proportional to 8,174.66, 11,284.41 and 5,525.65

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Solution

The fourth proportional to 8,174.66, 11,284.41 and 5,525.65 is: 7,627.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.66 : 11,284.41 = 5,525.65 : x
  2. Step 2: Convert to fraction form
    8,174.66/11,284.41 = 5,525.65/x
  3. Step 3: Cross multiply
    8,174.66x = 11,284.41 × 5,525.65
  4. Step 4: Simplify right side
    8,174.66x = 62,353,734.94
  5. Step 5: Solve for x
    x = 62,353,734.94/8,174.66
  6. Step 6: Final answer
    x = 7,627.69

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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.