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Finding the Fourth Proportional to 11,929.19, 16,446.78 and 7,672.64

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Solution

The fourth proportional to 11,929.19, 16,446.78 and 7,672.64 is: 10,578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929.19 : 16,446.78 = 7,672.64 : x
  2. Step 2: Convert to fraction form
    11,929.19/16,446.78 = 7,672.64/x
  3. Step 3: Cross multiply
    11,929.19x = 16,446.78 × 7,672.64
  4. Step 4: Simplify right side
    11,929.19x = 126,190,139.87
  5. Step 5: Solve for x
    x = 126,190,139.87/11,929.19
  6. Step 6: Final answer
    x = 10,578.27

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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.