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Finding the Fourth Proportional to 11,905.42, 17,860.02 and 4,114.84

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Solution

The fourth proportional to 11,905.42, 17,860.02 and 4,114.84 is: 6,172.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.42 : 17,860.02 = 4,114.84 : x
  2. Step 2: Convert to fraction form
    11,905.42/17,860.02 = 4,114.84/x
  3. Step 3: Cross multiply
    11,905.42x = 17,860.02 × 4,114.84
  4. Step 4: Simplify right side
    11,905.42x = 73,491,124.70
  5. Step 5: Solve for x
    x = 73,491,124.70/11,905.42
  6. Step 6: Final answer
    x = 6,172.91

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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.