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Finding the Fourth Proportional to 11,634.61, 16,055.29 and 6,329.31

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Solution

The fourth proportional to 11,634.61, 16,055.29 and 6,329.31 is: 8,734.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.61 : 16,055.29 = 6,329.31 : x
  2. Step 2: Convert to fraction form
    11,634.61/16,055.29 = 6,329.31/x
  3. Step 3: Cross multiply
    11,634.61x = 16,055.29 × 6,329.31
  4. Step 4: Simplify right side
    11,634.61x = 101,618,849.76
  5. Step 5: Solve for x
    x = 101,618,849.76/11,634.61
  6. Step 6: Final answer
    x = 8,734.19

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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.