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Finding the Fourth Proportional to 7,867.67, 11,801.52 and 3,485.16

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Solution

The fourth proportional to 7,867.67, 11,801.52 and 3,485.16 is: 5,227.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.67 : 11,801.52 = 3,485.16 : x
  2. Step 2: Convert to fraction form
    7,867.67/11,801.52 = 3,485.16/x
  3. Step 3: Cross multiply
    7,867.67x = 11,801.52 × 3,485.16
  4. Step 4: Simplify right side
    7,867.67x = 41,130,185.44
  5. Step 5: Solve for x
    x = 41,130,185.44/7,867.67
  6. Step 6: Final answer
    x = 5,227.75

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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.