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Finding the Fourth Proportional to 11,833.75, 16,330.71 and 8,253.96

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Solution

The fourth proportional to 11,833.75, 16,330.71 and 8,253.96 is: 11,390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.75 : 16,330.71 = 8,253.96 : x
  2. Step 2: Convert to fraction form
    11,833.75/16,330.71 = 8,253.96/x
  3. Step 3: Cross multiply
    11,833.75x = 16,330.71 × 8,253.96
  4. Step 4: Simplify right side
    11,833.75x = 134,793,027.11
  5. Step 5: Solve for x
    x = 134,793,027.11/11,833.75
  6. Step 6: Final answer
    x = 11,390.56

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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.