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Finding the Fourth Proportional to 11,578.08, 15,977.75 and 6,542.31

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Solution

The fourth proportional to 11,578.08, 15,977.75 and 6,542.31 is: 9,028.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.08 : 15,977.75 = 6,542.31 : x
  2. Step 2: Convert to fraction form
    11,578.08/15,977.75 = 6,542.31/x
  3. Step 3: Cross multiply
    11,578.08x = 15,977.75 × 6,542.31
  4. Step 4: Simplify right side
    11,578.08x = 104,531,393.60
  5. Step 5: Solve for x
    x = 104,531,393.60/11,578.08
  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.