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Finding the Fourth Proportional to 6,812.17, 10,214.91 and 3,065.11

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Solution

The fourth proportional to 6,812.17, 10,214.91 and 3,065.11 is: 4,596.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.17 : 10,214.91 = 3,065.11 : x
  2. Step 2: Convert to fraction form
    6,812.17/10,214.91 = 3,065.11/x
  3. Step 3: Cross multiply
    6,812.17x = 10,214.91 × 3,065.11
  4. Step 4: Simplify right side
    6,812.17x = 31,309,797.25
  5. Step 5: Solve for x
    x = 31,309,797.25/6,812.17
  6. Step 6: Final answer
    x = 4,596.16

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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.