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Finding the Fourth Proportional to 5,156.13, 7,717.07 and 4,694.97

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Solution

The fourth proportional to 5,156.13, 7,717.07 and 4,694.97 is: 7,026.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.13 : 7,717.07 = 4,694.97 : x
  2. Step 2: Convert to fraction form
    5,156.13/7,717.07 = 4,694.97/x
  3. Step 3: Cross multiply
    5,156.13x = 7,717.07 × 4,694.97
  4. Step 4: Simplify right side
    5,156.13x = 36,231,412.14
  5. Step 5: Solve for x
    x = 36,231,412.14/5,156.13
  6. Step 6: Final answer
    x = 7,026.86

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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.