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Finding the Fourth Proportional to 7,704.63, 10,633.16 and 4,722.44

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Solution

The fourth proportional to 7,704.63, 10,633.16 and 4,722.44 is: 6,517.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.63 : 10,633.16 = 4,722.44 : x
  2. Step 2: Convert to fraction form
    7,704.63/10,633.16 = 4,722.44/x
  3. Step 3: Cross multiply
    7,704.63x = 10,633.16 × 4,722.44
  4. Step 4: Simplify right side
    7,704.63x = 50,214,436.50
  5. Step 5: Solve for x
    x = 50,214,436.50/7,704.63
  6. Step 6: Final answer
    x = 6,517.44

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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.