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Finding the Fourth Proportional to 11,759.82, 16,228.62 and 6,454.68

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Solution

The fourth proportional to 11,759.82, 16,228.62 and 6,454.68 is: 8,907.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.82 : 16,228.62 = 6,454.68 : x
  2. Step 2: Convert to fraction form
    11,759.82/16,228.62 = 6,454.68/x
  3. Step 3: Cross multiply
    11,759.82x = 16,228.62 × 6,454.68
  4. Step 4: Simplify right side
    11,759.82x = 104,750,548.94
  5. Step 5: Solve for x
    x = 104,750,548.94/11,759.82
  6. Step 6: Final answer
    x = 8,907.50

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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.