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Finding the Fourth Proportional to 11,966.54, 17,958 and 4,175.35

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Solution

The fourth proportional to 11,966.54, 17,958 and 4,175.35 is: 6,265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.54 : 17,958 = 4,175.35 : x
  2. Step 2: Convert to fraction form
    11,966.54/17,958 = 4,175.35/x
  3. Step 3: Cross multiply
    11,966.54x = 17,958 × 4,175.35
  4. Step 4: Simplify right side
    11,966.54x = 74,980,935.30
  5. Step 5: Solve for x
    x = 74,980,935.30/11,966.54
  6. Step 6: Final answer
    x = 6,265.88

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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.