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Finding the Fourth Proportional to 11,760.33, 16,226.73 and 6,980.12

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Solution

The fourth proportional to 11,760.33, 16,226.73 and 6,980.12 is: 9,631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.33 : 16,226.73 = 6,980.12 : x
  2. Step 2: Convert to fraction form
    11,760.33/16,226.73 = 6,980.12/x
  3. Step 3: Cross multiply
    11,760.33x = 16,226.73 × 6,980.12
  4. Step 4: Simplify right side
    11,760.33x = 113,264,441.47
  5. Step 5: Solve for x
    x = 113,264,441.47/11,760.33
  6. Step 6: Final answer
    x = 9,631.06

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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.