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Finding the Fourth Proportional to 11,898, 16,419.24 and 6,930

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Solution

The fourth proportional to 11,898, 16,419.24 and 6,930 is: 9,563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898 : 16,419.24 = 6,930 : x
  2. Step 2: Convert to fraction form
    11,898/16,419.24 = 6,930/x
  3. Step 3: Cross multiply
    11,898x = 16,419.24 × 6,930
  4. Step 4: Simplify right side
    11,898x = 113,785,333.20
  5. Step 5: Solve for x
    x = 113,785,333.20/11,898
  6. Step 6: Final answer
    x = 9,563.40

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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.