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Finding the Fourth Proportional to 11,296.36, 15,590.82 and 6,820.39

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Solution

The fourth proportional to 11,296.36, 15,590.82 and 6,820.39 is: 9,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296.36 : 15,590.82 = 6,820.39 : x
  2. Step 2: Convert to fraction form
    11,296.36/15,590.82 = 6,820.39/x
  3. Step 3: Cross multiply
    11,296.36x = 15,590.82 × 6,820.39
  4. Step 4: Simplify right side
    11,296.36x = 106,335,472.82
  5. Step 5: Solve for x
    x = 106,335,472.82/11,296.36
  6. Step 6: Final answer
    x = 9,413.25

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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.