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Finding the Fourth Proportional to 7,709.68, 10,639.36 and 4,172.88

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Solution

The fourth proportional to 7,709.68, 10,639.36 and 4,172.88 is: 5,758.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.68 : 10,639.36 = 4,172.88 : x
  2. Step 2: Convert to fraction form
    7,709.68/10,639.36 = 4,172.88/x
  3. Step 3: Cross multiply
    7,709.68x = 10,639.36 × 4,172.88
  4. Step 4: Simplify right side
    7,709.68x = 44,396,772.56
  5. Step 5: Solve for x
    x = 44,396,772.56/7,709.68
  6. Step 6: Final answer
    x = 5,758.58

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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.