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Finding the Fourth Proportional to 11,811.88, 16,301.54 and 6,777

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Solution

The fourth proportional to 11,811.88, 16,301.54 and 6,777 is: 9,352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.88 : 16,301.54 = 6,777 : x
  2. Step 2: Convert to fraction form
    11,811.88/16,301.54 = 6,777/x
  3. Step 3: Cross multiply
    11,811.88x = 16,301.54 × 6,777
  4. Step 4: Simplify right side
    11,811.88x = 110,475,536.58
  5. Step 5: Solve for x
    x = 110,475,536.58/11,811.88
  6. Step 6: Final answer
    x = 9,352.92

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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.