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Finding the Fourth Proportional to 11,290.88, 16,911.66 and 6,357.80

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Solution

The fourth proportional to 11,290.88, 16,911.66 and 6,357.80 is: 9,522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,290.88 : 16,911.66 = 6,357.80 : x
  2. Step 2: Convert to fraction form
    11,290.88/16,911.66 = 6,357.80/x
  3. Step 3: Cross multiply
    11,290.88x = 16,911.66 × 6,357.80
  4. Step 4: Simplify right side
    11,290.88x = 107,520,951.95
  5. Step 5: Solve for x
    x = 107,520,951.95/11,290.88
  6. Step 6: Final answer
    x = 9,522.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.