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Finding the Fourth Proportional to 11,577.70, 15,976.92 and 6,542.44

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Solution

The fourth proportional to 11,577.70, 15,976.92 and 6,542.44 is: 9,028.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.70 : 15,976.92 = 6,542.44 : x
  2. Step 2: Convert to fraction form
    11,577.70/15,976.92 = 6,542.44/x
  3. Step 3: Cross multiply
    11,577.70x = 15,976.92 × 6,542.44
  4. Step 4: Simplify right side
    11,577.70x = 104,528,040.48
  5. Step 5: Solve for x
    x = 104,528,040.48/11,577.70
  6. Step 6: Final answer
    x = 9,028.39

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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.