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Finding the Fourth Proportional to 8,846.10, 12,212.66 and 5,865.96

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Solution

The fourth proportional to 8,846.10, 12,212.66 and 5,865.96 is: 8,098.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,846.10 : 12,212.66 = 5,865.96 : x
  2. Step 2: Convert to fraction form
    8,846.10/12,212.66 = 5,865.96/x
  3. Step 3: Cross multiply
    8,846.10x = 12,212.66 × 5,865.96
  4. Step 4: Simplify right side
    8,846.10x = 71,638,884.66
  5. Step 5: Solve for x
    x = 71,638,884.66/8,846.10
  6. Step 6: Final answer
    x = 8,098.36

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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.