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Finding the Fourth Proportional to 11,777.21, 17,627.36 and 8,656.40

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Solution

The fourth proportional to 11,777.21, 17,627.36 and 8,656.40 is: 12,956.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.21 : 17,627.36 = 8,656.40 : x
  2. Step 2: Convert to fraction form
    11,777.21/17,627.36 = 8,656.40/x
  3. Step 3: Cross multiply
    11,777.21x = 17,627.36 × 8,656.40
  4. Step 4: Simplify right side
    11,777.21x = 152,589,390.97
  5. Step 5: Solve for x
    x = 152,589,390.97/11,777.21
  6. Step 6: Final answer
    x = 12,956.33

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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.