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Finding the Fourth Proportional to 7,600.84, 10,493.51 and 5,794.13

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Solution

The fourth proportional to 7,600.84, 10,493.51 and 5,794.13 is: 7,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600.84 : 10,493.51 = 5,794.13 : x
  2. Step 2: Convert to fraction form
    7,600.84/10,493.51 = 5,794.13/x
  3. Step 3: Cross multiply
    7,600.84x = 10,493.51 × 5,794.13
  4. Step 4: Simplify right side
    7,600.84x = 60,800,761.10
  5. Step 5: Solve for x
    x = 60,800,761.10/7,600.84
  6. Step 6: Final answer
    x = 7,999.22

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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.