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Finding the Fourth Proportional to 11,201.69, 15,456.62 and 6,485.06

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Solution

The fourth proportional to 11,201.69, 15,456.62 and 6,485.06 is: 8,948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.69 : 15,456.62 = 6,485.06 : x
  2. Step 2: Convert to fraction form
    11,201.69/15,456.62 = 6,485.06/x
  3. Step 3: Cross multiply
    11,201.69x = 15,456.62 × 6,485.06
  4. Step 4: Simplify right side
    11,201.69x = 100,237,162.95
  5. Step 5: Solve for x
    x = 100,237,162.95/11,201.69
  6. Step 6: Final answer
    x = 8,948.39

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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.