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Finding the Fourth Proportional to 8,654.50, 12,983.91 and 2,498.50

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Solution

The fourth proportional to 8,654.50, 12,983.91 and 2,498.50 is: 3,748.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654.50 : 12,983.91 = 2,498.50 : x
  2. Step 2: Convert to fraction form
    8,654.50/12,983.91 = 2,498.50/x
  3. Step 3: Cross multiply
    8,654.50x = 12,983.91 × 2,498.50
  4. Step 4: Simplify right side
    8,654.50x = 32,440,299.14
  5. Step 5: Solve for x
    x = 32,440,299.14/8,654.50
  6. Step 6: Final answer
    x = 3,748.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.