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Finding the Fourth Proportional to 7,408.35, 10,229.40 and 5,843.43

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Solution

The fourth proportional to 7,408.35, 10,229.40 and 5,843.43 is: 8,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.35 : 10,229.40 = 5,843.43 : x
  2. Step 2: Convert to fraction form
    7,408.35/10,229.40 = 5,843.43/x
  3. Step 3: Cross multiply
    7,408.35x = 10,229.40 × 5,843.43
  4. Step 4: Simplify right side
    7,408.35x = 59,774,782.84
  5. Step 5: Solve for x
    x = 59,774,782.84/7,408.35
  6. Step 6: Final answer
    x = 8,068.57

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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.