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Finding the Fourth Proportional to 7,846.32, 11,763.88 and 3,684

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Solution

The fourth proportional to 7,846.32, 11,763.88 and 3,684 is: 5,523.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.32 : 11,763.88 = 3,684 : x
  2. Step 2: Convert to fraction form
    7,846.32/11,763.88 = 3,684/x
  3. Step 3: Cross multiply
    7,846.32x = 11,763.88 × 3,684
  4. Step 4: Simplify right side
    7,846.32x = 43,338,133.92
  5. Step 5: Solve for x
    x = 43,338,133.92/7,846.32
  6. Step 6: Final answer
    x = 5,523.37

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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.