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Finding the Fourth Proportional to 7,838.35, 11,761.37 and 3,678.70

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Solution

The fourth proportional to 7,838.35, 11,761.37 and 3,678.70 is: 5,519.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.35 : 11,761.37 = 3,678.70 : x
  2. Step 2: Convert to fraction form
    7,838.35/11,761.37 = 3,678.70/x
  3. Step 3: Cross multiply
    7,838.35x = 11,761.37 × 3,678.70
  4. Step 4: Simplify right side
    7,838.35x = 43,266,524.71
  5. Step 5: Solve for x
    x = 43,266,524.71/7,838.35
  6. Step 6: Final answer
    x = 5,519.85

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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.