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Finding the Fourth Proportional to 11,941.81, 16,478.46 and 7,466.05

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Solution

The fourth proportional to 11,941.81, 16,478.46 and 7,466.05 is: 10,302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,941.81 : 16,478.46 = 7,466.05 : x
  2. Step 2: Convert to fraction form
    11,941.81/16,478.46 = 7,466.05/x
  3. Step 3: Cross multiply
    11,941.81x = 16,478.46 × 7,466.05
  4. Step 4: Simplify right side
    11,941.81x = 123,029,006.28
  5. Step 5: Solve for x
    x = 123,029,006.28/11,941.81
  6. Step 6: Final answer
    x = 10,302.38

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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.