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Finding the Fourth Proportional to 11,759.54, 16,228.74 and 6,454.30

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Solution

The fourth proportional to 11,759.54, 16,228.74 and 6,454.30 is: 8,907.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.54 : 16,228.74 = 6,454.30 : x
  2. Step 2: Convert to fraction form
    11,759.54/16,228.74 = 6,454.30/x
  3. Step 3: Cross multiply
    11,759.54x = 16,228.74 × 6,454.30
  4. Step 4: Simplify right side
    11,759.54x = 104,745,156.58
  5. Step 5: Solve for x
    x = 104,745,156.58/11,759.54
  6. Step 6: Final answer
    x = 8,907.25

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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.