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Finding the Fourth Proportional to 11,343, 17,013.13 and 3,023.62

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Solution

The fourth proportional to 11,343, 17,013.13 and 3,023.62 is: 4,535.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343 : 17,013.13 = 3,023.62 : x
  2. Step 2: Convert to fraction form
    11,343/17,013.13 = 3,023.62/x
  3. Step 3: Cross multiply
    11,343x = 17,013.13 × 3,023.62
  4. Step 4: Simplify right side
    11,343x = 51,441,240.13
  5. Step 5: Solve for x
    x = 51,441,240.13/11,343
  6. Step 6: Final answer
    x = 4,535.06

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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.