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Finding the Fourth Proportional to 11,417.54, 17,128.61 and 4,027.24

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Solution

The fourth proportional to 11,417.54, 17,128.61 and 4,027.24 is: 6,041.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.54 : 17,128.61 = 4,027.24 : x
  2. Step 2: Convert to fraction form
    11,417.54/17,128.61 = 4,027.24/x
  3. Step 3: Cross multiply
    11,417.54x = 17,128.61 × 4,027.24
  4. Step 4: Simplify right side
    11,417.54x = 68,980,917.56
  5. Step 5: Solve for x
    x = 68,980,917.56/11,417.54
  6. Step 6: Final answer
    x = 6,041.66

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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.