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Finding the Fourth Proportional to 7,571.19, 10,447.73 and 4,738.45

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Solution

The fourth proportional to 7,571.19, 10,447.73 and 4,738.45 is: 6,538.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.19 : 10,447.73 = 4,738.45 : x
  2. Step 2: Convert to fraction form
    7,571.19/10,447.73 = 4,738.45/x
  3. Step 3: Cross multiply
    7,571.19x = 10,447.73 × 4,738.45
  4. Step 4: Simplify right side
    7,571.19x = 49,505,996.41
  5. Step 5: Solve for x
    x = 49,505,996.41/7,571.19
  6. Step 6: Final answer
    x = 6,538.73

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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.