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Finding the Fourth Proportional to 6,840.26, 10,260.08 and 1,909.80

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Solution

The fourth proportional to 6,840.26, 10,260.08 and 1,909.80 is: 2,864.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.26 : 10,260.08 = 1,909.80 : x
  2. Step 2: Convert to fraction form
    6,840.26/10,260.08 = 1,909.80/x
  3. Step 3: Cross multiply
    6,840.26x = 10,260.08 × 1,909.80
  4. Step 4: Simplify right side
    6,840.26x = 19,594,700.78
  5. Step 5: Solve for x
    x = 19,594,700.78/6,840.26
  6. Step 6: Final answer
    x = 2,864.61

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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.