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Finding the Fourth Proportional to 11,958.05, 17,914.56 and 7,013

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Solution

The fourth proportional to 11,958.05, 17,914.56 and 7,013 is: 10,506.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,958.05 : 17,914.56 = 7,013 : x
  2. Step 2: Convert to fraction form
    11,958.05/17,914.56 = 7,013/x
  3. Step 3: Cross multiply
    11,958.05x = 17,914.56 × 7,013
  4. Step 4: Simplify right side
    11,958.05x = 125,634,809.28
  5. Step 5: Solve for x
    x = 125,634,809.28/11,958.05
  6. Step 6: Final answer
    x = 10,506.30

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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.