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Finding the Fourth Proportional to 6,808.44, 10,207.08 and 2,423.40

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Solution

The fourth proportional to 6,808.44, 10,207.08 and 2,423.40 is: 3,633.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.44 : 10,207.08 = 2,423.40 : x
  2. Step 2: Convert to fraction form
    6,808.44/10,207.08 = 2,423.40/x
  3. Step 3: Cross multiply
    6,808.44x = 10,207.08 × 2,423.40
  4. Step 4: Simplify right side
    6,808.44x = 24,735,837.67
  5. Step 5: Solve for x
    x = 24,735,837.67/6,808.44
  6. Step 6: Final answer
    x = 3,633.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.