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Finding the Fourth Proportional to 11,325.84, 16,984.44 and 4,399.44

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Solution

The fourth proportional to 11,325.84, 16,984.44 and 4,399.44 is: 6,597.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,325.84 : 16,984.44 = 4,399.44 : x
  2. Step 2: Convert to fraction form
    11,325.84/16,984.44 = 4,399.44/x
  3. Step 3: Cross multiply
    11,325.84x = 16,984.44 × 4,399.44
  4. Step 4: Simplify right side
    11,325.84x = 74,722,024.71
  5. Step 5: Solve for x
    x = 74,722,024.71/11,325.84
  6. Step 6: Final answer
    x = 6,597.48

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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.