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Finding the Fourth Proportional to 8,431.54, 11,635.29 and 4,654.42

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Solution

The fourth proportional to 8,431.54, 11,635.29 and 4,654.42 is: 6,422.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.54 : 11,635.29 = 4,654.42 : x
  2. Step 2: Convert to fraction form
    8,431.54/11,635.29 = 4,654.42/x
  3. Step 3: Cross multiply
    8,431.54x = 11,635.29 × 4,654.42
  4. Step 4: Simplify right side
    8,431.54x = 54,155,497.39
  5. Step 5: Solve for x
    x = 54,155,497.39/8,431.54
  6. Step 6: Final answer
    x = 6,422.97

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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.