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Finding the Fourth Proportional to 7,709.57, 10,639.21 and 4,172.77

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Solution

The fourth proportional to 7,709.57, 10,639.21 and 4,172.77 is: 5,758.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.57 : 10,639.21 = 4,172.77 : x
  2. Step 2: Convert to fraction form
    7,709.57/10,639.21 = 4,172.77/x
  3. Step 3: Cross multiply
    7,709.57x = 10,639.21 × 4,172.77
  4. Step 4: Simplify right side
    7,709.57x = 44,394,976.31
  5. Step 5: Solve for x
    x = 44,394,976.31/7,709.57
  6. Step 6: Final answer
    x = 5,758.42

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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.