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Finding the Fourth Proportional to 6,840.20, 10,259.13 and 1,908.69

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Solution

The fourth proportional to 6,840.20, 10,259.13 and 1,908.69 is: 2,862.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.20 : 10,259.13 = 1,908.69 : x
  2. Step 2: Convert to fraction form
    6,840.20/10,259.13 = 1,908.69/x
  3. Step 3: Cross multiply
    6,840.20x = 10,259.13 × 1,908.69
  4. Step 4: Simplify right side
    6,840.20x = 19,581,491.01
  5. Step 5: Solve for x
    x = 19,581,491.01/6,840.20
  6. Step 6: Final answer
    x = 2,862.71

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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.