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Finding the Fourth Proportional to 11,184.93, 16,776.42 and 3,789.22

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Solution

The fourth proportional to 11,184.93, 16,776.42 and 3,789.22 is: 5,683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,184.93 : 16,776.42 = 3,789.22 : x
  2. Step 2: Convert to fraction form
    11,184.93/16,776.42 = 3,789.22/x
  3. Step 3: Cross multiply
    11,184.93x = 16,776.42 × 3,789.22
  4. Step 4: Simplify right side
    11,184.93x = 63,569,546.19
  5. Step 5: Solve for x
    x = 63,569,546.19/11,184.93
  6. Step 6: Final answer
    x = 5,683.50

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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.