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Finding the Fourth Proportional to 8,072.36, 12,102.05 and 4,560.20

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Solution

The fourth proportional to 8,072.36, 12,102.05 and 4,560.20 is: 6,836.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.36 : 12,102.05 = 4,560.20 : x
  2. Step 2: Convert to fraction form
    8,072.36/12,102.05 = 4,560.20/x
  3. Step 3: Cross multiply
    8,072.36x = 12,102.05 × 4,560.20
  4. Step 4: Simplify right side
    8,072.36x = 55,187,719.30
  5. Step 5: Solve for x
    x = 55,187,719.30/8,072.36
  6. Step 6: Final answer
    x = 6,836.63

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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.