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Finding the Fourth Proportional to 7,383.77, 11,069.82 and 3,683.96

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Solution

The fourth proportional to 7,383.77, 11,069.82 and 3,683.96 is: 5,523.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,383.77 : 11,069.82 = 3,683.96 : x
  2. Step 2: Convert to fraction form
    7,383.77/11,069.82 = 3,683.96/x
  3. Step 3: Cross multiply
    7,383.77x = 11,069.82 × 3,683.96
  4. Step 4: Simplify right side
    7,383.77x = 40,780,718.74
  5. Step 5: Solve for x
    x = 40,780,718.74/7,383.77
  6. Step 6: Final answer
    x = 5,523.03

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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.