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Finding the Fourth Proportional to 11,783.34, 16,242.12 and 8,941.46

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Solution

The fourth proportional to 11,783.34, 16,242.12 and 8,941.46 is: 12,324.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.34 : 16,242.12 = 8,941.46 : x
  2. Step 2: Convert to fraction form
    11,783.34/16,242.12 = 8,941.46/x
  3. Step 3: Cross multiply
    11,783.34x = 16,242.12 × 8,941.46
  4. Step 4: Simplify right side
    11,783.34x = 145,228,185.08
  5. Step 5: Solve for x
    x = 145,228,185.08/11,783.34
  6. Step 6: Final answer
    x = 12,324.87

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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.