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Finding the Fourth Proportional to 11,644.94, 17,465.25 and 3,852.74

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Solution

The fourth proportional to 11,644.94, 17,465.25 and 3,852.74 is: 5,778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.94 : 17,465.25 = 3,852.74 : x
  2. Step 2: Convert to fraction form
    11,644.94/17,465.25 = 3,852.74/x
  3. Step 3: Cross multiply
    11,644.94x = 17,465.25 × 3,852.74
  4. Step 4: Simplify right side
    11,644.94x = 67,289,067.29
  5. Step 5: Solve for x
    x = 67,289,067.29/11,644.94
  6. Step 6: Final answer
    x = 5,778.40

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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.