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Finding the Fourth Proportional to 11,781.88, 16,257.18 and 7,000.05

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Solution

The fourth proportional to 11,781.88, 16,257.18 and 7,000.05 is: 9,658.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.88 : 16,257.18 = 7,000.05 : x
  2. Step 2: Convert to fraction form
    11,781.88/16,257.18 = 7,000.05/x
  3. Step 3: Cross multiply
    11,781.88x = 16,257.18 × 7,000.05
  4. Step 4: Simplify right side
    11,781.88x = 113,801,078.41
  5. Step 5: Solve for x
    x = 113,801,078.41/11,781.88
  6. Step 6: Final answer
    x = 9,658.99

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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.