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Finding the Fourth Proportional to 11,930.49, 16,467.03 and 6,897.63

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Solution

The fourth proportional to 11,930.49, 16,467.03 and 6,897.63 is: 9,520.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.49 : 16,467.03 = 6,897.63 : x
  2. Step 2: Convert to fraction form
    11,930.49/16,467.03 = 6,897.63/x
  3. Step 3: Cross multiply
    11,930.49x = 16,467.03 × 6,897.63
  4. Step 4: Simplify right side
    11,930.49x = 113,583,480.14
  5. Step 5: Solve for x
    x = 113,583,480.14/11,930.49
  6. Step 6: Final answer
    x = 9,520.44

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