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Finding the Fourth Proportional to 11,617.94, 17,427 and 2,852.93

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Solution

The fourth proportional to 11,617.94, 17,427 and 2,852.93 is: 4,279.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.94 : 17,427 = 2,852.93 : x
  2. Step 2: Convert to fraction form
    11,617.94/17,427 = 2,852.93/x
  3. Step 3: Cross multiply
    11,617.94x = 17,427 × 2,852.93
  4. Step 4: Simplify right side
    11,617.94x = 49,718,011.11
  5. Step 5: Solve for x
    x = 49,718,011.11/11,617.94
  6. Step 6: Final answer
    x = 4,279.42

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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.