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Finding the Fourth Proportional to 8,589.05, 12,884.09 and 2,666.50

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Solution

The fourth proportional to 8,589.05, 12,884.09 and 2,666.50 is: 3,999.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.05 : 12,884.09 = 2,666.50 : x
  2. Step 2: Convert to fraction form
    8,589.05/12,884.09 = 2,666.50/x
  3. Step 3: Cross multiply
    8,589.05x = 12,884.09 × 2,666.50
  4. Step 4: Simplify right side
    8,589.05x = 34,355,425.99
  5. Step 5: Solve for x
    x = 34,355,425.99/8,589.05
  6. Step 6: Final answer
    x = 3,999.91

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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.