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Finding the Fourth Proportional to 11,930.93, 16,467.10 and 6,895.36

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Solution

The fourth proportional to 11,930.93, 16,467.10 and 6,895.36 is: 9,517.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.93 : 16,467.10 = 6,895.36 : x
  2. Step 2: Convert to fraction form
    11,930.93/16,467.10 = 6,895.36/x
  3. Step 3: Cross multiply
    11,930.93x = 16,467.10 × 6,895.36
  4. Step 4: Simplify right side
    11,930.93x = 113,546,641.06
  5. Step 5: Solve for x
    x = 113,546,641.06/11,930.93
  6. Step 6: Final answer
    x = 9,517.00

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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.