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Finding the Fourth Proportional to 6,911.53, 10,360 and 3,396.67

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Solution

The fourth proportional to 6,911.53, 10,360 and 3,396.67 is: 5,091.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.53 : 10,360 = 3,396.67 : x
  2. Step 2: Convert to fraction form
    6,911.53/10,360 = 3,396.67/x
  3. Step 3: Cross multiply
    6,911.53x = 10,360 × 3,396.67
  4. Step 4: Simplify right side
    6,911.53x = 35,189,501.20
  5. Step 5: Solve for x
    x = 35,189,501.20/6,911.53
  6. Step 6: Final answer
    x = 5,091.42

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Why These Related Problems?

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