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Finding the Fourth Proportional to 11,930.09, 16,464.26 and 6,895.26

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Solution

The fourth proportional to 11,930.09, 16,464.26 and 6,895.26 is: 9,515.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.09 : 16,464.26 = 6,895.26 : x
  2. Step 2: Convert to fraction form
    11,930.09/16,464.26 = 6,895.26/x
  3. Step 3: Cross multiply
    11,930.09x = 16,464.26 × 6,895.26
  4. Step 4: Simplify right side
    11,930.09x = 113,525,370.65
  5. Step 5: Solve for x
    x = 113,525,370.65/11,930.09
  6. Step 6: Final answer
    x = 9,515.89

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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.