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Finding the Fourth Proportional to 11,971.32, 17,958.22 and 4,582

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Solution

The fourth proportional to 11,971.32, 17,958.22 and 4,582 is: 6,873.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.32 : 17,958.22 = 4,582 : x
  2. Step 2: Convert to fraction form
    11,971.32/17,958.22 = 4,582/x
  3. Step 3: Cross multiply
    11,971.32x = 17,958.22 × 4,582
  4. Step 4: Simplify right side
    11,971.32x = 82,284,564.04
  5. Step 5: Solve for x
    x = 82,284,564.04/11,971.32
  6. Step 6: Final answer
    x = 6,873.47

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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.