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Finding the Fourth Proportional to 8,564.42, 12,846.90 and 2,324.42

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Solution

The fourth proportional to 8,564.42, 12,846.90 and 2,324.42 is: 3,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.42 : 12,846.90 = 2,324.42 : x
  2. Step 2: Convert to fraction form
    8,564.42/12,846.90 = 2,324.42/x
  3. Step 3: Cross multiply
    8,564.42x = 12,846.90 × 2,324.42
  4. Step 4: Simplify right side
    8,564.42x = 29,861,527.06
  5. Step 5: Solve for x
    x = 29,861,527.06/8,564.42
  6. Step 6: Final answer
    x = 3,486.70

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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.