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Finding the Fourth Proportional to 7,270, 10,855.34 and 5,968.24

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Solution

The fourth proportional to 7,270, 10,855.34 and 5,968.24 is: 8,911.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270 : 10,855.34 = 5,968.24 : x
  2. Step 2: Convert to fraction form
    7,270/10,855.34 = 5,968.24/x
  3. Step 3: Cross multiply
    7,270x = 10,855.34 × 5,968.24
  4. Step 4: Simplify right side
    7,270x = 64,787,274.40
  5. Step 5: Solve for x
    x = 64,787,274.40/7,270
  6. Step 6: Final answer
    x = 8,911.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.