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Finding the Fourth Proportional to 8,834.23, 13,251.23 and 2,594.01

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Solution

The fourth proportional to 8,834.23, 13,251.23 and 2,594.01 is: 3,890.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,834.23 : 13,251.23 = 2,594.01 : x
  2. Step 2: Convert to fraction form
    8,834.23/13,251.23 = 2,594.01/x
  3. Step 3: Cross multiply
    8,834.23x = 13,251.23 × 2,594.01
  4. Step 4: Simplify right side
    8,834.23x = 34,373,874.45
  5. Step 5: Solve for x
    x = 34,373,874.45/8,834.23
  6. Step 6: Final answer
    x = 3,890.99

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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.