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Finding the Fourth Proportional to 7,698.74, 11,546.84 and 2,767.46

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Solution

The fourth proportional to 7,698.74, 11,546.84 and 2,767.46 is: 4,150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.74 : 11,546.84 = 2,767.46 : x
  2. Step 2: Convert to fraction form
    7,698.74/11,546.84 = 2,767.46/x
  3. Step 3: Cross multiply
    7,698.74x = 11,546.84 × 2,767.46
  4. Step 4: Simplify right side
    7,698.74x = 31,955,417.83
  5. Step 5: Solve for x
    x = 31,955,417.83/7,698.74
  6. Step 6: Final answer
    x = 4,150.73

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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.