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Finding the Fourth Proportional to 11,661.60, 17,485.98 and 7,968

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Solution

The fourth proportional to 11,661.60, 17,485.98 and 7,968 is: 11,947.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.60 : 17,485.98 = 7,968 : x
  2. Step 2: Convert to fraction form
    11,661.60/17,485.98 = 7,968/x
  3. Step 3: Cross multiply
    11,661.60x = 17,485.98 × 7,968
  4. Step 4: Simplify right side
    11,661.60x = 139,328,288.64
  5. Step 5: Solve for x
    x = 139,328,288.64/11,661.60
  6. Step 6: Final answer
    x = 11,947.61

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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.