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Finding the Fourth Proportional to 11,168.96, 15,413.22 and 6,133.59

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Solution

The fourth proportional to 11,168.96, 15,413.22 and 6,133.59 is: 8,464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,168.96 : 15,413.22 = 6,133.59 : x
  2. Step 2: Convert to fraction form
    11,168.96/15,413.22 = 6,133.59/x
  3. Step 3: Cross multiply
    11,168.96x = 15,413.22 × 6,133.59
  4. Step 4: Simplify right side
    11,168.96x = 94,538,372.06
  5. Step 5: Solve for x
    x = 94,538,372.06/11,168.96
  6. Step 6: Final answer
    x = 8,464.39

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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.