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Finding the Fourth Proportional to 11,172.78, 15,418.80 and 6,137.28

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Solution

The fourth proportional to 11,172.78, 15,418.80 and 6,137.28 is: 8,469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,172.78 : 15,418.80 = 6,137.28 : x
  2. Step 2: Convert to fraction form
    11,172.78/15,418.80 = 6,137.28/x
  3. Step 3: Cross multiply
    11,172.78x = 15,418.80 × 6,137.28
  4. Step 4: Simplify right side
    11,172.78x = 94,629,492.86
  5. Step 5: Solve for x
    x = 94,629,492.86/11,172.78
  6. Step 6: Final answer
    x = 8,469.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.