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Finding the Fourth Proportional to 6,744.65, 10,116.62 and 2,064.67

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Solution

The fourth proportional to 6,744.65, 10,116.62 and 2,064.67 is: 3,096.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.65 : 10,116.62 = 2,064.67 : x
  2. Step 2: Convert to fraction form
    6,744.65/10,116.62 = 2,064.67/x
  3. Step 3: Cross multiply
    6,744.65x = 10,116.62 × 2,064.67
  4. Step 4: Simplify right side
    6,744.65x = 20,887,446.20
  5. Step 5: Solve for x
    x = 20,887,446.20/6,744.65
  6. Step 6: Final answer
    x = 3,096.89

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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.