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Finding the Fourth Proportional to 11,827.57, 16,330.31 and 7,353.33

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Solution

The fourth proportional to 11,827.57, 16,330.31 and 7,353.33 is: 10,152.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.57 : 16,330.31 = 7,353.33 : x
  2. Step 2: Convert to fraction form
    11,827.57/16,330.31 = 7,353.33/x
  3. Step 3: Cross multiply
    11,827.57x = 16,330.31 × 7,353.33
  4. Step 4: Simplify right side
    11,827.57x = 120,082,179.86
  5. Step 5: Solve for x
    x = 120,082,179.86/11,827.57
  6. Step 6: Final answer
    x = 10,152.74

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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.