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Finding the Fourth Proportional to 7,412.34, 11,122.87 and 2,735.64

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Solution

The fourth proportional to 7,412.34, 11,122.87 and 2,735.64 is: 4,105.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.34 : 11,122.87 = 2,735.64 : x
  2. Step 2: Convert to fraction form
    7,412.34/11,122.87 = 2,735.64/x
  3. Step 3: Cross multiply
    7,412.34x = 11,122.87 × 2,735.64
  4. Step 4: Simplify right side
    7,412.34x = 30,428,105.63
  5. Step 5: Solve for x
    x = 30,428,105.63/7,412.34
  6. Step 6: Final answer
    x = 4,105.06

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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.