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Finding the Fourth Proportional to 11,966.81, 16,513.47 and 6,930.65

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Solution

The fourth proportional to 11,966.81, 16,513.47 and 6,930.65 is: 9,563.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.81 : 16,513.47 = 6,930.65 : x
  2. Step 2: Convert to fraction form
    11,966.81/16,513.47 = 6,930.65/x
  3. Step 3: Cross multiply
    11,966.81x = 16,513.47 × 6,930.65
  4. Step 4: Simplify right side
    11,966.81x = 114,449,122.14
  5. Step 5: Solve for x
    x = 114,449,122.14/11,966.81
  6. Step 6: Final answer
    x = 9,563.88

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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.