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Finding the Fourth Proportional to 11,892.36, 16,413.18 and 7,177.32

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Solution

The fourth proportional to 11,892.36, 16,413.18 and 7,177.32 is: 9,905.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.36 : 16,413.18 = 7,177.32 : x
  2. Step 2: Convert to fraction form
    11,892.36/16,413.18 = 7,177.32/x
  3. Step 3: Cross multiply
    11,892.36x = 16,413.18 × 7,177.32
  4. Step 4: Simplify right side
    11,892.36x = 117,802,645.08
  5. Step 5: Solve for x
    x = 117,802,645.08/11,892.36
  6. Step 6: Final answer
    x = 9,905.74

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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.