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Finding the Fourth Proportional to 8,309.63, 11,466.70 and 4,676.21

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Solution

The fourth proportional to 8,309.63, 11,466.70 and 4,676.21 is: 6,452.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.63 : 11,466.70 = 4,676.21 : x
  2. Step 2: Convert to fraction form
    8,309.63/11,466.70 = 4,676.21/x
  3. Step 3: Cross multiply
    8,309.63x = 11,466.70 × 4,676.21
  4. Step 4: Simplify right side
    8,309.63x = 53,620,628.18
  5. Step 5: Solve for x
    x = 53,620,628.18/8,309.63
  6. Step 6: Final answer
    x = 6,452.83

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