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Finding the Fourth Proportional to 7,942.36, 10,958.64 and 5,291.20

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Solution

The fourth proportional to 7,942.36, 10,958.64 and 5,291.20 is: 7,300.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,942.36 : 10,958.64 = 5,291.20 : x
  2. Step 2: Convert to fraction form
    7,942.36/10,958.64 = 5,291.20/x
  3. Step 3: Cross multiply
    7,942.36x = 10,958.64 × 5,291.20
  4. Step 4: Simplify right side
    7,942.36x = 57,984,355.97
  5. Step 5: Solve for x
    x = 57,984,355.97/7,942.36
  6. Step 6: Final answer
    x = 7,300.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.