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Finding the Fourth Proportional to 8,261.56, 11,398.94 and 4,676.60

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Solution

The fourth proportional to 8,261.56, 11,398.94 and 4,676.60 is: 6,452.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.56 : 11,398.94 = 4,676.60 : x
  2. Step 2: Convert to fraction form
    8,261.56/11,398.94 = 4,676.60/x
  3. Step 3: Cross multiply
    8,261.56x = 11,398.94 × 4,676.60
  4. Step 4: Simplify right side
    8,261.56x = 53,308,282.80
  5. Step 5: Solve for x
    x = 53,308,282.80/8,261.56
  6. Step 6: Final answer
    x = 6,452.57

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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.