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Finding the Fourth Proportional to 7,071.85, 10,591.62 and 3,376.67

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Solution

The fourth proportional to 7,071.85, 10,591.62 and 3,376.67 is: 5,057.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.85 : 10,591.62 = 3,376.67 : x
  2. Step 2: Convert to fraction form
    7,071.85/10,591.62 = 3,376.67/x
  3. Step 3: Cross multiply
    7,071.85x = 10,591.62 × 3,376.67
  4. Step 4: Simplify right side
    7,071.85x = 35,764,405.51
  5. Step 5: Solve for x
    x = 35,764,405.51/7,071.85
  6. Step 6: Final answer
    x = 5,057.29

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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.