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Finding the Fourth Proportional to 11,634.48, 16,055.22 and 6,329.16

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Solution

The fourth proportional to 11,634.48, 16,055.22 and 6,329.16 is: 8,734.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.48 : 16,055.22 = 6,329.16 : x
  2. Step 2: Convert to fraction form
    11,634.48/16,055.22 = 6,329.16/x
  3. Step 3: Cross multiply
    11,634.48x = 16,055.22 × 6,329.16
  4. Step 4: Simplify right side
    11,634.48x = 101,616,056.22
  5. Step 5: Solve for x
    x = 101,616,056.22/11,634.48
  6. Step 6: Final answer
    x = 8,734.04

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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.