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Finding the Fourth Proportional to 11,325.52, 16,984.08 and 3,928

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Solution

The fourth proportional to 11,325.52, 16,984.08 and 3,928 is: 5,890.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,325.52 : 16,984.08 = 3,928 : x
  2. Step 2: Convert to fraction form
    11,325.52/16,984.08 = 3,928/x
  3. Step 3: Cross multiply
    11,325.52x = 16,984.08 × 3,928
  4. Step 4: Simplify right side
    11,325.52x = 66,713,466.24
  5. Step 5: Solve for x
    x = 66,713,466.24/11,325.52
  6. Step 6: Final answer
    x = 5,890.54

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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.