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Finding the Fourth Proportional to 11,358.82, 17,038.41 and 5,796.46

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Solution

The fourth proportional to 11,358.82, 17,038.41 and 5,796.46 is: 8,694.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358.82 : 17,038.41 = 5,796.46 : x
  2. Step 2: Convert to fraction form
    11,358.82/17,038.41 = 5,796.46/x
  3. Step 3: Cross multiply
    11,358.82x = 17,038.41 × 5,796.46
  4. Step 4: Simplify right side
    11,358.82x = 98,762,462.03
  5. Step 5: Solve for x
    x = 98,762,462.03/11,358.82
  6. Step 6: Final answer
    x = 8,694.78

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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.