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Finding the Fourth Proportional to 8,513.63, 12,770.78 and 2,967.54

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Solution

The fourth proportional to 8,513.63, 12,770.78 and 2,967.54 is: 4,451.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.63 : 12,770.78 = 2,967.54 : x
  2. Step 2: Convert to fraction form
    8,513.63/12,770.78 = 2,967.54/x
  3. Step 3: Cross multiply
    8,513.63x = 12,770.78 × 2,967.54
  4. Step 4: Simplify right side
    8,513.63x = 37,897,800.48
  5. Step 5: Solve for x
    x = 37,897,800.48/8,513.63
  6. Step 6: Final answer
    x = 4,451.43

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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.