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Finding the Fourth Proportional to 7,573.89, 10,450.73 and 4,216.62

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Solution

The fourth proportional to 7,573.89, 10,450.73 and 4,216.62 is: 5,818.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.89 : 10,450.73 = 4,216.62 : x
  2. Step 2: Convert to fraction form
    7,573.89/10,450.73 = 4,216.62/x
  3. Step 3: Cross multiply
    7,573.89x = 10,450.73 × 4,216.62
  4. Step 4: Simplify right side
    7,573.89x = 44,066,736.05
  5. Step 5: Solve for x
    x = 44,066,736.05/7,573.89
  6. Step 6: Final answer
    x = 5,818.24

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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.