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Finding the Fourth Proportional to 11,781.27, 16,260.53 and 7,000.31

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Solution

The fourth proportional to 11,781.27, 16,260.53 and 7,000.31 is: 9,661.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.27 : 16,260.53 = 7,000.31 : x
  2. Step 2: Convert to fraction form
    11,781.27/16,260.53 = 7,000.31/x
  3. Step 3: Cross multiply
    11,781.27x = 16,260.53 × 7,000.31
  4. Step 4: Simplify right side
    11,781.27x = 113,828,634.46
  5. Step 5: Solve for x
    x = 113,828,634.46/11,781.27
  6. Step 6: Final answer
    x = 9,661.83

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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.