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Finding the Fourth Proportional to 11,172.24, 15,413.76 and 6,456.24

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Solution

The fourth proportional to 11,172.24, 15,413.76 and 6,456.24 is: 8,907.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,172.24 : 15,413.76 = 6,456.24 : x
  2. Step 2: Convert to fraction form
    11,172.24/15,413.76 = 6,456.24/x
  3. Step 3: Cross multiply
    11,172.24x = 15,413.76 × 6,456.24
  4. Step 4: Simplify right side
    11,172.24x = 99,514,933.86
  5. Step 5: Solve for x
    x = 99,514,933.86/11,172.24
  6. Step 6: Final answer
    x = 8,907.34

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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.