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Finding the Fourth Proportional to 7,772.75, 11,661.98 and 4,853.51

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Solution

The fourth proportional to 7,772.75, 11,661.98 and 4,853.51 is: 7,282.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.75 : 11,661.98 = 4,853.51 : x
  2. Step 2: Convert to fraction form
    7,772.75/11,661.98 = 4,853.51/x
  3. Step 3: Cross multiply
    7,772.75x = 11,661.98 × 4,853.51
  4. Step 4: Simplify right side
    7,772.75x = 56,601,453.97
  5. Step 5: Solve for x
    x = 56,601,453.97/7,772.75
  6. Step 6: Final answer
    x = 7,282.04

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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.