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Finding the Fourth Proportional to 7,796.48, 11,694.96 and 3,411.68

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Solution

The fourth proportional to 7,796.48, 11,694.96 and 3,411.68 is: 5,117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.48 : 11,694.96 = 3,411.68 : x
  2. Step 2: Convert to fraction form
    7,796.48/11,694.96 = 3,411.68/x
  3. Step 3: Cross multiply
    7,796.48x = 11,694.96 × 3,411.68
  4. Step 4: Simplify right side
    7,796.48x = 39,899,461.13
  5. Step 5: Solve for x
    x = 39,899,461.13/7,796.48
  6. Step 6: Final answer
    x = 5,117.63

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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.