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Finding the Fourth Proportional to 11,759.74, 16,228.37 and 6,454.44

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Solution

The fourth proportional to 11,759.74, 16,228.37 and 6,454.44 is: 8,907.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.74 : 16,228.37 = 6,454.44 : x
  2. Step 2: Convert to fraction form
    11,759.74/16,228.37 = 6,454.44/x
  3. Step 3: Cross multiply
    11,759.74x = 16,228.37 × 6,454.44
  4. Step 4: Simplify right side
    11,759.74x = 104,745,056.60
  5. Step 5: Solve for x
    x = 104,745,056.60/11,759.74
  6. Step 6: Final answer
    x = 8,907.09

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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.