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Finding the Fourth Proportional to 6,812.56, 10,210.20 and 6,739.12

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Solution

The fourth proportional to 6,812.56, 10,210.20 and 6,739.12 is: 10,100.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.56 : 10,210.20 = 6,739.12 : x
  2. Step 2: Convert to fraction form
    6,812.56/10,210.20 = 6,739.12/x
  3. Step 3: Cross multiply
    6,812.56x = 10,210.20 × 6,739.12
  4. Step 4: Simplify right side
    6,812.56x = 68,807,763.02
  5. Step 5: Solve for x
    x = 68,807,763.02/6,812.56
  6. Step 6: Final answer
    x = 10,100.13

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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.