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Finding the Fourth Proportional to 8,453.24, 11,665.17 and 4,676.34

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Solution

The fourth proportional to 8,453.24, 11,665.17 and 4,676.34 is: 6,453.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453.24 : 11,665.17 = 4,676.34 : x
  2. Step 2: Convert to fraction form
    8,453.24/11,665.17 = 4,676.34/x
  3. Step 3: Cross multiply
    8,453.24x = 11,665.17 × 4,676.34
  4. Step 4: Simplify right side
    8,453.24x = 54,550,301.08
  5. Step 5: Solve for x
    x = 54,550,301.08/8,453.24
  6. Step 6: Final answer
    x = 6,453.19

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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.