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Finding the Fourth Proportional to 11,485.70, 17,230.17 and 5,642.54

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Solution

The fourth proportional to 11,485.70, 17,230.17 and 5,642.54 is: 8,464.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,485.70 : 17,230.17 = 5,642.54 : x
  2. Step 2: Convert to fraction form
    11,485.70/17,230.17 = 5,642.54/x
  3. Step 3: Cross multiply
    11,485.70x = 17,230.17 × 5,642.54
  4. Step 4: Simplify right side
    11,485.70x = 97,221,923.43
  5. Step 5: Solve for x
    x = 97,221,923.43/11,485.70
  6. Step 6: Final answer
    x = 8,464.61

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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.