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Finding the Fourth Proportional to 8,461.05, 11,676.52 and 5,623.48

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Solution

The fourth proportional to 8,461.05, 11,676.52 and 5,623.48 is: 7,760.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.05 : 11,676.52 = 5,623.48 : x
  2. Step 2: Convert to fraction form
    8,461.05/11,676.52 = 5,623.48/x
  3. Step 3: Cross multiply
    8,461.05x = 11,676.52 × 5,623.48
  4. Step 4: Simplify right side
    8,461.05x = 65,662,676.69
  5. Step 5: Solve for x
    x = 65,662,676.69/8,461.05
  6. Step 6: Final answer
    x = 7,760.58

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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.