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Finding the Fourth Proportional to 11,297.08, 15,590.82 and 6,580.36

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Solution

The fourth proportional to 11,297.08, 15,590.82 and 6,580.36 is: 9,081.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.08 : 15,590.82 = 6,580.36 : x
  2. Step 2: Convert to fraction form
    11,297.08/15,590.82 = 6,580.36/x
  3. Step 3: Cross multiply
    11,297.08x = 15,590.82 × 6,580.36
  4. Step 4: Simplify right side
    11,297.08x = 102,593,208.30
  5. Step 5: Solve for x
    x = 102,593,208.30/11,297.08
  6. Step 6: Final answer
    x = 9,081.39

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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.