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Finding the Fourth Proportional to 7,071.58, 10,608.73 and 2,688.70

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Solution

The fourth proportional to 7,071.58, 10,608.73 and 2,688.70 is: 4,033.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.58 : 10,608.73 = 2,688.70 : x
  2. Step 2: Convert to fraction form
    7,071.58/10,608.73 = 2,688.70/x
  3. Step 3: Cross multiply
    7,071.58x = 10,608.73 × 2,688.70
  4. Step 4: Simplify right side
    7,071.58x = 28,523,639.31
  5. Step 5: Solve for x
    x = 28,523,639.31/7,071.58
  6. Step 6: Final answer
    x = 4,033.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.