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Finding the Fourth Proportional to 8,284.44, 12,410.26 and 5,364.80

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Solution

The fourth proportional to 8,284.44, 12,410.26 and 5,364.80 is: 8,036.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.44 : 12,410.26 = 5,364.80 : x
  2. Step 2: Convert to fraction form
    8,284.44/12,410.26 = 5,364.80/x
  3. Step 3: Cross multiply
    8,284.44x = 12,410.26 × 5,364.80
  4. Step 4: Simplify right side
    8,284.44x = 66,578,562.85
  5. Step 5: Solve for x
    x = 66,578,562.85/8,284.44
  6. Step 6: Final answer
    x = 8,036.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.