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Finding the Fourth Proportional to 10,677.80, 16,019.10 and 3,282.60

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Solution

The fourth proportional to 10,677.80, 16,019.10 and 3,282.60 is: 4,924.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.80 : 16,019.10 = 3,282.60 : x
  2. Step 2: Convert to fraction form
    10,677.80/16,019.10 = 3,282.60/x
  3. Step 3: Cross multiply
    10,677.80x = 16,019.10 × 3,282.60
  4. Step 4: Simplify right side
    10,677.80x = 52,584,297.66
  5. Step 5: Solve for x
    x = 52,584,297.66/10,677.80
  6. Step 6: Final answer
    x = 4,924.64

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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.