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Finding the Fourth Proportional to 6,853.76, 10,280.84 and 2,173.79

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Solution

The fourth proportional to 6,853.76, 10,280.84 and 2,173.79 is: 3,260.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.76 : 10,280.84 = 2,173.79 : x
  2. Step 2: Convert to fraction form
    6,853.76/10,280.84 = 2,173.79/x
  3. Step 3: Cross multiply
    6,853.76x = 10,280.84 × 2,173.79
  4. Step 4: Simplify right side
    6,853.76x = 22,348,376.31
  5. Step 5: Solve for x
    x = 22,348,376.31/6,853.76
  6. Step 6: Final answer
    x = 3,260.75

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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.