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Finding the Fourth Proportional to 7,456.78, 10,286.04 and 4,657.42

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Solution

The fourth proportional to 7,456.78, 10,286.04 and 4,657.42 is: 6,424.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.78 : 10,286.04 = 4,657.42 : x
  2. Step 2: Convert to fraction form
    7,456.78/10,286.04 = 4,657.42/x
  3. Step 3: Cross multiply
    7,456.78x = 10,286.04 × 4,657.42
  4. Step 4: Simplify right side
    7,456.78x = 47,906,408.42
  5. Step 5: Solve for x
    x = 47,906,408.42/7,456.78
  6. Step 6: Final answer
    x = 6,424.54

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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.