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Finding the Fourth Proportional to 7,963.17, 11,944.71 and 2,769

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Solution

The fourth proportional to 7,963.17, 11,944.71 and 2,769 is: 4,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.17 : 11,944.71 = 2,769 : x
  2. Step 2: Convert to fraction form
    7,963.17/11,944.71 = 2,769/x
  3. Step 3: Cross multiply
    7,963.17x = 11,944.71 × 2,769
  4. Step 4: Simplify right side
    7,963.17x = 33,074,901.99
  5. Step 5: Solve for x
    x = 33,074,901.99/7,963.17
  6. Step 6: Final answer
    x = 4,153.48

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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.