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Finding the Fourth Proportional to 7,901.65, 11,844.27 and 3,738.49

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Solution

The fourth proportional to 7,901.65, 11,844.27 and 3,738.49 is: 5,603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.65 : 11,844.27 = 3,738.49 : x
  2. Step 2: Convert to fraction form
    7,901.65/11,844.27 = 3,738.49/x
  3. Step 3: Cross multiply
    7,901.65x = 11,844.27 × 3,738.49
  4. Step 4: Simplify right side
    7,901.65x = 44,279,684.95
  5. Step 5: Solve for x
    x = 44,279,684.95/7,901.65
  6. Step 6: Final answer
    x = 5,603.85

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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.