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Finding the Fourth Proportional to 11,684.95, 16,125.31 and 6,379.89

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Solution

The fourth proportional to 11,684.95, 16,125.31 and 6,379.89 is: 8,804.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.95 : 16,125.31 = 6,379.89 : x
  2. Step 2: Convert to fraction form
    11,684.95/16,125.31 = 6,379.89/x
  3. Step 3: Cross multiply
    11,684.95x = 16,125.31 × 6,379.89
  4. Step 4: Simplify right side
    11,684.95x = 102,877,704.02
  5. Step 5: Solve for x
    x = 102,877,704.02/11,684.95
  6. Step 6: Final answer
    x = 8,804.29

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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.