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Finding the Fourth Proportional to 11,478.20, 17,222.40 and 7,317.20

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Solution

The fourth proportional to 11,478.20, 17,222.40 and 7,317.20 is: 10,979.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.20 : 17,222.40 = 7,317.20 : x
  2. Step 2: Convert to fraction form
    11,478.20/17,222.40 = 7,317.20/x
  3. Step 3: Cross multiply
    11,478.20x = 17,222.40 × 7,317.20
  4. Step 4: Simplify right side
    11,478.20x = 126,019,745.28
  5. Step 5: Solve for x
    x = 126,019,745.28/11,478.20
  6. Step 6: Final answer
    x = 10,979.05

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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.