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Finding the Fourth Proportional to 8,309.25, 11,466.77 and 4,772.39

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Solution

The fourth proportional to 8,309.25, 11,466.77 and 4,772.39 is: 6,585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.25 : 11,466.77 = 4,772.39 : x
  2. Step 2: Convert to fraction form
    8,309.25/11,466.77 = 4,772.39/x
  3. Step 3: Cross multiply
    8,309.25x = 11,466.77 × 4,772.39
  4. Step 4: Simplify right side
    8,309.25x = 54,723,817.28
  5. Step 5: Solve for x
    x = 54,723,817.28/8,309.25
  6. Step 6: Final answer
    x = 6,585.89

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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.