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Finding the Fourth Proportional to 12,077.20, 16,666.50 and 7,361.50

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Solution

The fourth proportional to 12,077.20, 16,666.50 and 7,361.50 is: 10,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.20 : 16,666.50 = 7,361.50 : x
  2. Step 2: Convert to fraction form
    12,077.20/16,666.50 = 7,361.50/x
  3. Step 3: Cross multiply
    12,077.20x = 16,666.50 × 7,361.50
  4. Step 4: Simplify right side
    12,077.20x = 122,690,439.75
  5. Step 5: Solve for x
    x = 122,690,439.75/12,077.20
  6. Step 6: Final answer
    x = 10,158.85

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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.