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Finding the Fourth Proportional to 11,684.76, 16,125.20 and 6,379.79

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Solution

The fourth proportional to 11,684.76, 16,125.20 and 6,379.79 is: 8,804.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.76 : 16,125.20 = 6,379.79 : x
  2. Step 2: Convert to fraction form
    11,684.76/16,125.20 = 6,379.79/x
  3. Step 3: Cross multiply
    11,684.76x = 16,125.20 × 6,379.79
  4. Step 4: Simplify right side
    11,684.76x = 102,875,277.18
  5. Step 5: Solve for x
    x = 102,875,277.18/11,684.76
  6. Step 6: Final answer
    x = 8,804.23

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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.