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Finding the Fourth Proportional to 11,734.71, 16,193.82 and 6,429.54

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Solution

The fourth proportional to 11,734.71, 16,193.82 and 6,429.54 is: 8,872.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,734.71 : 16,193.82 = 6,429.54 : x
  2. Step 2: Convert to fraction form
    11,734.71/16,193.82 = 6,429.54/x
  3. Step 3: Cross multiply
    11,734.71x = 16,193.82 × 6,429.54
  4. Step 4: Simplify right side
    11,734.71x = 104,118,813.44
  5. Step 5: Solve for x
    x = 104,118,813.44/11,734.71
  6. Step 6: Final answer
    x = 8,872.72

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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.