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Finding the Fourth Proportional to 7,800.19, 11,704.37 and 3,418.70

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Solution

The fourth proportional to 7,800.19, 11,704.37 and 3,418.70 is: 5,129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.19 : 11,704.37 = 3,418.70 : x
  2. Step 2: Convert to fraction form
    7,800.19/11,704.37 = 3,418.70/x
  3. Step 3: Cross multiply
    7,800.19x = 11,704.37 × 3,418.70
  4. Step 4: Simplify right side
    7,800.19x = 40,013,654.10
  5. Step 5: Solve for x
    x = 40,013,654.10/7,800.19
  6. Step 6: Final answer
    x = 5,129.83

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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.