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Finding the Fourth Proportional to 7,637.78, 10,540.32 and 4,234.73

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Solution

The fourth proportional to 7,637.78, 10,540.32 and 4,234.73 is: 5,844.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.78 : 10,540.32 = 4,234.73 : x
  2. Step 2: Convert to fraction form
    7,637.78/10,540.32 = 4,234.73/x
  3. Step 3: Cross multiply
    7,637.78x = 10,540.32 × 4,234.73
  4. Step 4: Simplify right side
    7,637.78x = 44,635,356.61
  5. Step 5: Solve for x
    x = 44,635,356.61/7,637.78
  6. Step 6: Final answer
    x = 5,844.02

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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.