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Finding the Fourth Proportional to 7,664.25, 11,485.98 and 3,499.10

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Solution

The fourth proportional to 7,664.25, 11,485.98 and 3,499.10 is: 5,243.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.25 : 11,485.98 = 3,499.10 : x
  2. Step 2: Convert to fraction form
    7,664.25/11,485.98 = 3,499.10/x
  3. Step 3: Cross multiply
    7,664.25x = 11,485.98 × 3,499.10
  4. Step 4: Simplify right side
    7,664.25x = 40,190,535.19
  5. Step 5: Solve for x
    x = 40,190,535.19/7,664.25
  6. Step 6: Final answer
    x = 5,243.90

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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.