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Finding the Fourth Proportional to 11,881.54, 16,393.90 and 7,100.77

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Solution

The fourth proportional to 11,881.54, 16,393.90 and 7,100.77 is: 9,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.54 : 16,393.90 = 7,100.77 : x
  2. Step 2: Convert to fraction form
    11,881.54/16,393.90 = 7,100.77/x
  3. Step 3: Cross multiply
    11,881.54x = 16,393.90 × 7,100.77
  4. Step 4: Simplify right side
    11,881.54x = 116,409,231.33
  5. Step 5: Solve for x
    x = 116,409,231.33/11,881.54
  6. Step 6: Final answer
    x = 9,797.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.