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Finding the Fourth Proportional to 11,684.12, 16,123.92 and 6,379.16

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Solution

The fourth proportional to 11,684.12, 16,123.92 and 6,379.16 is: 8,803.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.12 : 16,123.92 = 6,379.16 : x
  2. Step 2: Convert to fraction form
    11,684.12/16,123.92 = 6,379.16/x
  3. Step 3: Cross multiply
    11,684.12x = 16,123.92 × 6,379.16
  4. Step 4: Simplify right side
    11,684.12x = 102,857,065.51
  5. Step 5: Solve for x
    x = 102,857,065.51/11,684.12
  6. Step 6: Final answer
    x = 8,803.15

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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.