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Finding the Fourth Proportional to 6,809.00, 10,216.53 and 3,061.53

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Solution

The fourth proportional to 6,809.00, 10,216.53 and 3,061.53 is: 4,593.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.00 : 10,216.53 = 3,061.53 : x
  2. Step 2: Convert to fraction form
    6,809.00/10,216.53 = 3,061.53/x
  3. Step 3: Cross multiply
    6,809.00x = 10,216.53 × 3,061.53
  4. Step 4: Simplify right side
    6,809.00x = 31,278,213.09
  5. Step 5: Solve for x
    x = 31,278,213.09/6,809.00
  6. Step 6: Final answer
    x = 4,593.66

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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.