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Finding the Fourth Proportional to 11,137.78, 15,370.14 and 6,946

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Solution

The fourth proportional to 11,137.78, 15,370.14 and 6,946 is: 9,585.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.78 : 15,370.14 = 6,946 : x
  2. Step 2: Convert to fraction form
    11,137.78/15,370.14 = 6,946/x
  3. Step 3: Cross multiply
    11,137.78x = 15,370.14 × 6,946
  4. Step 4: Simplify right side
    11,137.78x = 106,760,992.44
  5. Step 5: Solve for x
    x = 106,760,992.44/11,137.78
  6. Step 6: Final answer
    x = 9,585.48

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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.