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Finding the Fourth Proportional to 8,461.43, 11,676.39 and 4,684.33

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Solution

The fourth proportional to 8,461.43, 11,676.39 and 4,684.33 is: 6,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.43 : 11,676.39 = 4,684.33 : x
  2. Step 2: Convert to fraction form
    8,461.43/11,676.39 = 4,684.33/x
  3. Step 3: Cross multiply
    8,461.43x = 11,676.39 × 4,684.33
  4. Step 4: Simplify right side
    8,461.43x = 54,696,034.78
  5. Step 5: Solve for x
    x = 54,696,034.78/8,461.43
  6. Step 6: Final answer
    x = 6,464.16

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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.