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Finding the Fourth Proportional to 11,966.66, 17,958.19 and 4,175.47

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Solution

The fourth proportional to 11,966.66, 17,958.19 and 4,175.47 is: 6,266.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.66 : 17,958.19 = 4,175.47 : x
  2. Step 2: Convert to fraction form
    11,966.66/17,958.19 = 4,175.47/x
  3. Step 3: Cross multiply
    11,966.66x = 17,958.19 × 4,175.47
  4. Step 4: Simplify right side
    11,966.66x = 74,983,903.44
  5. Step 5: Solve for x
    x = 74,983,903.44/11,966.66
  6. Step 6: Final answer
    x = 6,266.07

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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.