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Finding the Fourth Proportional to 10,893.60, 15,033.38 and 6,177.80

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Solution

The fourth proportional to 10,893.60, 15,033.38 and 6,177.80 is: 8,525.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,893.60 : 15,033.38 = 6,177.80 : x
  2. Step 2: Convert to fraction form
    10,893.60/15,033.38 = 6,177.80/x
  3. Step 3: Cross multiply
    10,893.60x = 15,033.38 × 6,177.80
  4. Step 4: Simplify right side
    10,893.60x = 92,873,214.96
  5. Step 5: Solve for x
    x = 92,873,214.96/10,893.60
  6. Step 6: Final answer
    x = 8,525.48

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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.