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Finding the Fourth Proportional to 11,167.74, 15,413.76 and 6,451.38

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Solution

The fourth proportional to 11,167.74, 15,413.76 and 6,451.38 is: 8,904.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167.74 : 15,413.76 = 6,451.38 : x
  2. Step 2: Convert to fraction form
    11,167.74/15,413.76 = 6,451.38/x
  3. Step 3: Cross multiply
    11,167.74x = 15,413.76 × 6,451.38
  4. Step 4: Simplify right side
    11,167.74x = 99,440,022.99
  5. Step 5: Solve for x
    x = 99,440,022.99/11,167.74
  6. Step 6: Final answer
    x = 8,904.22

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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.