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Finding the Fourth Proportional to 8,566.67, 12,841.25 and 4,861.07

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Solution

The fourth proportional to 8,566.67, 12,841.25 and 4,861.07 is: 7,286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.67 : 12,841.25 = 4,861.07 : x
  2. Step 2: Convert to fraction form
    8,566.67/12,841.25 = 4,861.07/x
  3. Step 3: Cross multiply
    8,566.67x = 12,841.25 × 4,861.07
  4. Step 4: Simplify right side
    8,566.67x = 62,422,126.63
  5. Step 5: Solve for x
    x = 62,422,126.63/8,566.67
  6. Step 6: Final answer
    x = 7,286.63

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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.