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Finding the Fourth Proportional to 8,201.75, 12,303.83 and 2,653.25

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Solution

The fourth proportional to 8,201.75, 12,303.83 and 2,653.25 is: 3,980.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.75 : 12,303.83 = 2,653.25 : x
  2. Step 2: Convert to fraction form
    8,201.75/12,303.83 = 2,653.25/x
  3. Step 3: Cross multiply
    8,201.75x = 12,303.83 × 2,653.25
  4. Step 4: Simplify right side
    8,201.75x = 32,645,062.16
  5. Step 5: Solve for x
    x = 32,645,062.16/8,201.75
  6. Step 6: Final answer
    x = 3,980.26

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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.