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Finding the Fourth Proportional to 7,563.44, 10,436.64 and 4,205.41

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Solution

The fourth proportional to 7,563.44, 10,436.64 and 4,205.41 is: 5,802.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.44 : 10,436.64 = 4,205.41 : x
  2. Step 2: Convert to fraction form
    7,563.44/10,436.64 = 4,205.41/x
  3. Step 3: Cross multiply
    7,563.44x = 10,436.64 × 4,205.41
  4. Step 4: Simplify right side
    7,563.44x = 43,890,350.22
  5. Step 5: Solve for x
    x = 43,890,350.22/7,563.44
  6. Step 6: Final answer
    x = 5,802.96

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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.