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Finding the Fourth Proportional to 11,941.48, 16,479.57 and 6,905.21

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Solution

The fourth proportional to 11,941.48, 16,479.57 and 6,905.21 is: 9,529.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,941.48 : 16,479.57 = 6,905.21 : x
  2. Step 2: Convert to fraction form
    11,941.48/16,479.57 = 6,905.21/x
  3. Step 3: Cross multiply
    11,941.48x = 16,479.57 × 6,905.21
  4. Step 4: Simplify right side
    11,941.48x = 113,794,958.65
  5. Step 5: Solve for x
    x = 113,794,958.65/11,941.48
  6. Step 6: Final answer
    x = 9,529.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.