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Finding the Fourth Proportional to 11,616.94, 17,425.59 and 4,216.78

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Solution

The fourth proportional to 11,616.94, 17,425.59 and 4,216.78 is: 6,325.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.94 : 17,425.59 = 4,216.78 : x
  2. Step 2: Convert to fraction form
    11,616.94/17,425.59 = 4,216.78/x
  3. Step 3: Cross multiply
    11,616.94x = 17,425.59 × 4,216.78
  4. Step 4: Simplify right side
    11,616.94x = 73,479,879.40
  5. Step 5: Solve for x
    x = 73,479,879.40/11,616.94
  6. Step 6: Final answer
    x = 6,325.24

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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.