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Finding the Fourth Proportional to 11,684.46, 16,123.94 and 6,378.25

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Solution

The fourth proportional to 11,684.46, 16,123.94 and 6,378.25 is: 8,801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.46 : 16,123.94 = 6,378.25 : x
  2. Step 2: Convert to fraction form
    11,684.46/16,123.94 = 6,378.25/x
  3. Step 3: Cross multiply
    11,684.46x = 16,123.94 × 6,378.25
  4. Step 4: Simplify right side
    11,684.46x = 102,842,520.31
  5. Step 5: Solve for x
    x = 102,842,520.31/11,684.46
  6. Step 6: Final answer
    x = 8,801.65

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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.