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Finding the Fourth Proportional to 11,805.93, 17,719.83 and 5,966.64

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Solution

The fourth proportional to 11,805.93, 17,719.83 and 5,966.64 is: 8,955.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.93 : 17,719.83 = 5,966.64 : x
  2. Step 2: Convert to fraction form
    11,805.93/17,719.83 = 5,966.64/x
  3. Step 3: Cross multiply
    11,805.93x = 17,719.83 × 5,966.64
  4. Step 4: Simplify right side
    11,805.93x = 105,727,846.47
  5. Step 5: Solve for x
    x = 105,727,846.47/11,805.93
  6. Step 6: Final answer
    x = 8,955.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.