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Finding the Fourth Proportional to 7,657.44, 10,565.94 and 4,299.78

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Solution

The fourth proportional to 7,657.44, 10,565.94 and 4,299.78 is: 5,932.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.44 : 10,565.94 = 4,299.78 : x
  2. Step 2: Convert to fraction form
    7,657.44/10,565.94 = 4,299.78/x
  3. Step 3: Cross multiply
    7,657.44x = 10,565.94 × 4,299.78
  4. Step 4: Simplify right side
    7,657.44x = 45,431,273.24
  5. Step 5: Solve for x
    x = 45,431,273.24/7,657.44
  6. Step 6: Final answer
    x = 5,932.96

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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.