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Finding the Fourth Proportional to 7,971.64, 12,003.79 and 5,906.32

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Solution

The fourth proportional to 7,971.64, 12,003.79 and 5,906.32 is: 8,893.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.64 : 12,003.79 = 5,906.32 : x
  2. Step 2: Convert to fraction form
    7,971.64/12,003.79 = 5,906.32/x
  3. Step 3: Cross multiply
    7,971.64x = 12,003.79 × 5,906.32
  4. Step 4: Simplify right side
    7,971.64x = 70,898,224.95
  5. Step 5: Solve for x
    x = 70,898,224.95/7,971.64
  6. Step 6: Final answer
    x = 8,893.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.