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Finding the Fourth Proportional to 11,759.99, 16,228.72 and 6,454.69

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Solution

The fourth proportional to 11,759.99, 16,228.72 and 6,454.69 is: 8,907.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.99 : 16,228.72 = 6,454.69 : x
  2. Step 2: Convert to fraction form
    11,759.99/16,228.72 = 6,454.69/x
  3. Step 3: Cross multiply
    11,759.99x = 16,228.72 × 6,454.69
  4. Step 4: Simplify right side
    11,759.99x = 104,751,356.70
  5. Step 5: Solve for x
    x = 104,751,356.70/11,759.99
  6. Step 6: Final answer
    x = 8,907.44

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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.