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Finding the Fourth Proportional to 11,188.25, 16,782.88 and 5,634.98

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Solution

The fourth proportional to 11,188.25, 16,782.88 and 5,634.98 is: 8,452.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188.25 : 16,782.88 = 5,634.98 : x
  2. Step 2: Convert to fraction form
    11,188.25/16,782.88 = 5,634.98/x
  3. Step 3: Cross multiply
    11,188.25x = 16,782.88 × 5,634.98
  4. Step 4: Simplify right side
    11,188.25x = 94,571,095.14
  5. Step 5: Solve for x
    x = 94,571,095.14/11,188.25
  6. Step 6: Final answer
    x = 8,452.72

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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.