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Finding the Fourth Proportional to 7,314.93, 10,092.11 and 4,170.33

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Solution

The fourth proportional to 7,314.93, 10,092.11 and 4,170.33 is: 5,753.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.93 : 10,092.11 = 4,170.33 : x
  2. Step 2: Convert to fraction form
    7,314.93/10,092.11 = 4,170.33/x
  3. Step 3: Cross multiply
    7,314.93x = 10,092.11 × 4,170.33
  4. Step 4: Simplify right side
    7,314.93x = 42,087,408.24
  5. Step 5: Solve for x
    x = 42,087,408.24/7,314.93
  6. Step 6: Final answer
    x = 5,753.63

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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.