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Finding the Fourth Proportional to 8,166.85, 11,259.67 and 5,290.46

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Solution

The fourth proportional to 8,166.85, 11,259.67 and 5,290.46 is: 7,293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.85 : 11,259.67 = 5,290.46 : x
  2. Step 2: Convert to fraction form
    8,166.85/11,259.67 = 5,290.46/x
  3. Step 3: Cross multiply
    8,166.85x = 11,259.67 × 5,290.46
  4. Step 4: Simplify right side
    8,166.85x = 59,568,833.75
  5. Step 5: Solve for x
    x = 59,568,833.75/8,166.85
  6. Step 6: Final answer
    x = 7,293.98

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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.