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Finding the Fourth Proportional to 6,843.93, 10,266.30 and 2,164.08

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Solution

The fourth proportional to 6,843.93, 10,266.30 and 2,164.08 is: 3,246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.93 : 10,266.30 = 2,164.08 : x
  2. Step 2: Convert to fraction form
    6,843.93/10,266.30 = 2,164.08/x
  3. Step 3: Cross multiply
    6,843.93x = 10,266.30 × 2,164.08
  4. Step 4: Simplify right side
    6,843.93x = 22,217,094.50
  5. Step 5: Solve for x
    x = 22,217,094.50/6,843.93
  6. Step 6: Final answer
    x = 3,246.25

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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.