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Finding the Fourth Proportional to 11,634.98, 16,056.09 and 6,329.75

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Solution

The fourth proportional to 11,634.98, 16,056.09 and 6,329.75 is: 8,734.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.98 : 16,056.09 = 6,329.75 : x
  2. Step 2: Convert to fraction form
    11,634.98/16,056.09 = 6,329.75/x
  3. Step 3: Cross multiply
    11,634.98x = 16,056.09 × 6,329.75
  4. Step 4: Simplify right side
    11,634.98x = 101,630,955.40
  5. Step 5: Solve for x
    x = 101,630,955.40/11,634.98
  6. Step 6: Final answer
    x = 8,734.95

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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.