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Finding the Fourth Proportional to 11,634.50, 16,055.40 and 6,329.24

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Solution

The fourth proportional to 11,634.50, 16,055.40 and 6,329.24 is: 8,734.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.50 : 16,055.40 = 6,329.24 : x
  2. Step 2: Convert to fraction form
    11,634.50/16,055.40 = 6,329.24/x
  3. Step 3: Cross multiply
    11,634.50x = 16,055.40 × 6,329.24
  4. Step 4: Simplify right side
    11,634.50x = 101,618,479.90
  5. Step 5: Solve for x
    x = 101,618,479.90/11,634.50
  6. Step 6: Final answer
    x = 8,734.24

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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.