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Finding the Fourth Proportional to 11,855.84, 16,362.63 and 11,466.41

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Solution

The fourth proportional to 11,855.84, 16,362.63 and 11,466.41 is: 15,825.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.84 : 16,362.63 = 11,466.41 : x
  2. Step 2: Convert to fraction form
    11,855.84/16,362.63 = 11,466.41/x
  3. Step 3: Cross multiply
    11,855.84x = 16,362.63 × 11,466.41
  4. Step 4: Simplify right side
    11,855.84x = 187,620,542.45
  5. Step 5: Solve for x
    x = 187,620,542.45/11,855.84
  6. Step 6: Final answer
    x = 15,825.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.