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Finding the Fourth Proportional to 11,739.62, 17,611.06 and 4,812.50

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Solution

The fourth proportional to 11,739.62, 17,611.06 and 4,812.50 is: 7,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,739.62 : 17,611.06 = 4,812.50 : x
  2. Step 2: Convert to fraction form
    11,739.62/17,611.06 = 4,812.50/x
  3. Step 3: Cross multiply
    11,739.62x = 17,611.06 × 4,812.50
  4. Step 4: Simplify right side
    11,739.62x = 84,753,226.25
  5. Step 5: Solve for x
    x = 84,753,226.25/11,739.62
  6. Step 6: Final answer
    x = 7,219.42

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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.