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Finding the Fourth Proportional to 11,518.50, 17,277.77 and 7,811.54

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Solution

The fourth proportional to 11,518.50, 17,277.77 and 7,811.54 is: 11,717.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,518.50 : 17,277.77 = 7,811.54 : x
  2. Step 2: Convert to fraction form
    11,518.50/17,277.77 = 7,811.54/x
  3. Step 3: Cross multiply
    11,518.50x = 17,277.77 × 7,811.54
  4. Step 4: Simplify right side
    11,518.50x = 134,965,989.40
  5. Step 5: Solve for x
    x = 134,965,989.40/11,518.50
  6. Step 6: Final answer
    x = 11,717.32

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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.