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Finding the Fourth Proportional to 11,893.65, 16,413.53 and 6,516.38

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Solution

The fourth proportional to 11,893.65, 16,413.53 and 6,516.38 is: 8,992.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.65 : 16,413.53 = 6,516.38 : x
  2. Step 2: Convert to fraction form
    11,893.65/16,413.53 = 6,516.38/x
  3. Step 3: Cross multiply
    11,893.65x = 16,413.53 × 6,516.38
  4. Step 4: Simplify right side
    11,893.65x = 106,956,798.62
  5. Step 5: Solve for x
    x = 106,956,798.62/11,893.65
  6. Step 6: Final answer
    x = 8,992.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.