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Finding the Fourth Proportional to 10,768.44, 16,150.50 and 2,978.04

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Solution

The fourth proportional to 10,768.44, 16,150.50 and 2,978.04 is: 4,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.44 : 16,150.50 = 2,978.04 : x
  2. Step 2: Convert to fraction form
    10,768.44/16,150.50 = 2,978.04/x
  3. Step 3: Cross multiply
    10,768.44x = 16,150.50 × 2,978.04
  4. Step 4: Simplify right side
    10,768.44x = 48,096,835.02
  5. Step 5: Solve for x
    x = 48,096,835.02/10,768.44
  6. Step 6: Final answer
    x = 4,466.46

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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.