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Finding the Fourth Proportional to 7,086.16, 10,620.60 and 3,185.20

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Solution

The fourth proportional to 7,086.16, 10,620.60 and 3,185.20 is: 4,773.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.16 : 10,620.60 = 3,185.20 : x
  2. Step 2: Convert to fraction form
    7,086.16/10,620.60 = 3,185.20/x
  3. Step 3: Cross multiply
    7,086.16x = 10,620.60 × 3,185.20
  4. Step 4: Simplify right side
    7,086.16x = 33,828,735.12
  5. Step 5: Solve for x
    x = 33,828,735.12/7,086.16
  6. Step 6: Final answer
    x = 4,773.92

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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.