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Finding the Fourth Proportional to 7,504.50, 10,356.09 and 4,147.46

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Solution

The fourth proportional to 7,504.50, 10,356.09 and 4,147.46 is: 5,723.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504.50 : 10,356.09 = 4,147.46 : x
  2. Step 2: Convert to fraction form
    7,504.50/10,356.09 = 4,147.46/x
  3. Step 3: Cross multiply
    7,504.50x = 10,356.09 × 4,147.46
  4. Step 4: Simplify right side
    7,504.50x = 42,951,440.53
  5. Step 5: Solve for x
    x = 42,951,440.53/7,504.50
  6. Step 6: Final answer
    x = 5,723.42

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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.