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Finding the Fourth Proportional to 11,971.62, 17,949.10 and 5,304.50

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Solution

The fourth proportional to 11,971.62, 17,949.10 and 5,304.50 is: 7,953.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.62 : 17,949.10 = 5,304.50 : x
  2. Step 2: Convert to fraction form
    11,971.62/17,949.10 = 5,304.50/x
  3. Step 3: Cross multiply
    11,971.62x = 17,949.10 × 5,304.50
  4. Step 4: Simplify right side
    11,971.62x = 95,210,975.20
  5. Step 5: Solve for x
    x = 95,210,975.20/11,971.62
  6. Step 6: Final answer
    x = 7,953.06

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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.