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Finding the Fourth Proportional to 8,505.78, 12,756.84 and 2,661.63

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Solution

The fourth proportional to 8,505.78, 12,756.84 and 2,661.63 is: 3,991.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.78 : 12,756.84 = 2,661.63 : x
  2. Step 2: Convert to fraction form
    8,505.78/12,756.84 = 2,661.63/x
  3. Step 3: Cross multiply
    8,505.78x = 12,756.84 × 2,661.63
  4. Step 4: Simplify right side
    8,505.78x = 33,953,988.05
  5. Step 5: Solve for x
    x = 33,953,988.05/8,505.78
  6. Step 6: Final answer
    x = 3,991.87

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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.