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Finding the Fourth Proportional to 11,389.50, 17,084.25 and 3,181.50

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Solution

The fourth proportional to 11,389.50, 17,084.25 and 3,181.50 is: 4,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,389.50 : 17,084.25 = 3,181.50 : x
  2. Step 2: Convert to fraction form
    11,389.50/17,084.25 = 3,181.50/x
  3. Step 3: Cross multiply
    11,389.50x = 17,084.25 × 3,181.50
  4. Step 4: Simplify right side
    11,389.50x = 54,353,541.38
  5. Step 5: Solve for x
    x = 54,353,541.38/11,389.50
  6. Step 6: Final answer
    x = 4,772.25

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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.