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Finding the Fourth Proportional to 7,968.40, 11,951 and 7,573.24

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Solution

The fourth proportional to 7,968.40, 11,951 and 7,573.24 is: 11,358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,968.40 : 11,951 = 7,573.24 : x
  2. Step 2: Convert to fraction form
    7,968.40/11,951 = 7,573.24/x
  3. Step 3: Cross multiply
    7,968.40x = 11,951 × 7,573.24
  4. Step 4: Simplify right side
    7,968.40x = 90,507,791.24
  5. Step 5: Solve for x
    x = 90,507,791.24/7,968.40
  6. Step 6: Final answer
    x = 11,358.34

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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.