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Finding the Fourth Proportional to 11,540.05, 17,303.76 and 7,791.77

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Solution

The fourth proportional to 11,540.05, 17,303.76 and 7,791.77 is: 11,683.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.05 : 17,303.76 = 7,791.77 : x
  2. Step 2: Convert to fraction form
    11,540.05/17,303.76 = 7,791.77/x
  3. Step 3: Cross multiply
    11,540.05x = 17,303.76 × 7,791.77
  4. Step 4: Simplify right side
    11,540.05x = 134,826,961.31
  5. Step 5: Solve for x
    x = 134,826,961.31/11,540.05
  6. Step 6: Final answer
    x = 11,683.40

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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.