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Finding the Fourth Proportional to 10,930.72, 15,086.64 and 6,682.48

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Solution

The fourth proportional to 10,930.72, 15,086.64 and 6,682.48 is: 9,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.72 : 15,086.64 = 6,682.48 : x
  2. Step 2: Convert to fraction form
    10,930.72/15,086.64 = 6,682.48/x
  3. Step 3: Cross multiply
    10,930.72x = 15,086.64 × 6,682.48
  4. Step 4: Simplify right side
    10,930.72x = 100,816,170.07
  5. Step 5: Solve for x
    x = 100,816,170.07/10,930.72
  6. Step 6: Final answer
    x = 9,223.20

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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.