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Finding the Fourth Proportional to 8,273.67, 11,417.74 and 4,496.90

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Solution

The fourth proportional to 8,273.67, 11,417.74 and 4,496.90 is: 6,205.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.67 : 11,417.74 = 4,496.90 : x
  2. Step 2: Convert to fraction form
    8,273.67/11,417.74 = 4,496.90/x
  3. Step 3: Cross multiply
    8,273.67x = 11,417.74 × 4,496.90
  4. Step 4: Simplify right side
    8,273.67x = 51,344,377.92
  5. Step 5: Solve for x
    x = 51,344,377.92/8,273.67
  6. Step 6: Final answer
    x = 6,205.76

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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.