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Finding the Fourth Proportional to 8,422.87, 11,619.98 and 6,180.85

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Solution

The fourth proportional to 8,422.87, 11,619.98 and 6,180.85 is: 8,526.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.87 : 11,619.98 = 6,180.85 : x
  2. Step 2: Convert to fraction form
    8,422.87/11,619.98 = 6,180.85/x
  3. Step 3: Cross multiply
    8,422.87x = 11,619.98 × 6,180.85
  4. Step 4: Simplify right side
    8,422.87x = 71,821,322.48
  5. Step 5: Solve for x
    x = 71,821,322.48/8,422.87
  6. Step 6: Final answer
    x = 8,526.94

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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.