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Finding the Fourth Proportional to 11,911.16, 16,447.86 and 7,442.54

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Solution

The fourth proportional to 11,911.16, 16,447.86 and 7,442.54 is: 10,277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.16 : 16,447.86 = 7,442.54 : x
  2. Step 2: Convert to fraction form
    11,911.16/16,447.86 = 7,442.54/x
  3. Step 3: Cross multiply
    11,911.16x = 16,447.86 × 7,442.54
  4. Step 4: Simplify right side
    11,911.16x = 122,413,773.73
  5. Step 5: Solve for x
    x = 122,413,773.73/11,911.16
  6. Step 6: Final answer
    x = 10,277.24

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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.