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Finding the Fourth Proportional to 7,573.51, 10,450.22 and 4,216.25

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Solution

The fourth proportional to 7,573.51, 10,450.22 and 4,216.25 is: 5,817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.51 : 10,450.22 = 4,216.25 : x
  2. Step 2: Convert to fraction form
    7,573.51/10,450.22 = 4,216.25/x
  3. Step 3: Cross multiply
    7,573.51x = 10,450.22 × 4,216.25
  4. Step 4: Simplify right side
    7,573.51x = 44,060,745.12
  5. Step 5: Solve for x
    x = 44,060,745.12/7,573.51
  6. Step 6: Final answer
    x = 5,817.74

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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.