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Finding the Fourth Proportional to 7,736.10, 11,604.37 and 1,892.71

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Solution

The fourth proportional to 7,736.10, 11,604.37 and 1,892.71 is: 2,839.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.10 : 11,604.37 = 1,892.71 : x
  2. Step 2: Convert to fraction form
    7,736.10/11,604.37 = 1,892.71/x
  3. Step 3: Cross multiply
    7,736.10x = 11,604.37 × 1,892.71
  4. Step 4: Simplify right side
    7,736.10x = 21,963,649.12
  5. Step 5: Solve for x
    x = 21,963,649.12/7,736.10
  6. Step 6: Final answer
    x = 2,839.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.