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Finding the Fourth Proportional to 8,585.39, 11,845.82 and 6,223.43

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Solution

The fourth proportional to 8,585.39, 11,845.82 and 6,223.43 is: 8,586.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.39 : 11,845.82 = 6,223.43 : x
  2. Step 2: Convert to fraction form
    8,585.39/11,845.82 = 6,223.43/x
  3. Step 3: Cross multiply
    8,585.39x = 11,845.82 × 6,223.43
  4. Step 4: Simplify right side
    8,585.39x = 73,721,541.22
  5. Step 5: Solve for x
    x = 73,721,541.22/8,585.39
  6. Step 6: Final answer
    x = 8,586.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.