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Finding the Fourth Proportional to 8,431.90, 11,635.52 and 4,654.97

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Solution

The fourth proportional to 8,431.90, 11,635.52 and 4,654.97 is: 6,423.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.90 : 11,635.52 = 4,654.97 : x
  2. Step 2: Convert to fraction form
    8,431.90/11,635.52 = 4,654.97/x
  3. Step 3: Cross multiply
    8,431.90x = 11,635.52 × 4,654.97
  4. Step 4: Simplify right side
    8,431.90x = 54,163,050.35
  5. Step 5: Solve for x
    x = 54,163,050.35/8,431.90
  6. Step 6: Final answer
    x = 6,423.59

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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.