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Finding the Fourth Proportional to 8,584.83, 12,861.69 and 7,207.02

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Solution

The fourth proportional to 8,584.83, 12,861.69 and 7,207.02 is: 10,797.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.83 : 12,861.69 = 7,207.02 : x
  2. Step 2: Convert to fraction form
    8,584.83/12,861.69 = 7,207.02/x
  3. Step 3: Cross multiply
    8,584.83x = 12,861.69 × 7,207.02
  4. Step 4: Simplify right side
    8,584.83x = 92,694,457.06
  5. Step 5: Solve for x
    x = 92,694,457.06/8,584.83
  6. Step 6: Final answer
    x = 10,797.47

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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.