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Finding the Fourth Proportional to 8,841.78, 13,268.70 and 3,647.64

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Solution

The fourth proportional to 8,841.78, 13,268.70 and 3,647.64 is: 5,473.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,841.78 : 13,268.70 = 3,647.64 : x
  2. Step 2: Convert to fraction form
    8,841.78/13,268.70 = 3,647.64/x
  3. Step 3: Cross multiply
    8,841.78x = 13,268.70 × 3,647.64
  4. Step 4: Simplify right side
    8,841.78x = 48,399,440.87
  5. Step 5: Solve for x
    x = 48,399,440.87/8,841.78
  6. Step 6: Final answer
    x = 5,473.95

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Why These Related Problems?

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