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Finding the Fourth Proportional to 11,827.34, 16,321.12 and 7,351.00

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Solution

The fourth proportional to 11,827.34, 16,321.12 and 7,351.00 is: 10,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.34 : 16,321.12 = 7,351.00 : x
  2. Step 2: Convert to fraction form
    11,827.34/16,321.12 = 7,351.00/x
  3. Step 3: Cross multiply
    11,827.34x = 16,321.12 × 7,351.00
  4. Step 4: Simplify right side
    11,827.34x = 119,976,493.94
  5. Step 5: Solve for x
    x = 119,976,493.94/11,827.34
  6. Step 6: Final answer
    x = 10,144.00

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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.