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Finding the Fourth Proportional to 10,767.54, 14,863.76 and 10,094.97

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Solution

The fourth proportional to 10,767.54, 14,863.76 and 10,094.97 is: 13,935.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.54 : 14,863.76 = 10,094.97 : x
  2. Step 2: Convert to fraction form
    10,767.54/14,863.76 = 10,094.97/x
  3. Step 3: Cross multiply
    10,767.54x = 14,863.76 × 10,094.97
  4. Step 4: Simplify right side
    10,767.54x = 150,049,086.49
  5. Step 5: Solve for x
    x = 150,049,086.49/10,767.54
  6. Step 6: Final answer
    x = 13,935.32

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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.