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Finding the Fourth Proportional to 8,294.90, 11,458.20 and 7,704.44

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Solution

The fourth proportional to 8,294.90, 11,458.20 and 7,704.44 is: 10,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.90 : 11,458.20 = 7,704.44 : x
  2. Step 2: Convert to fraction form
    8,294.90/11,458.20 = 7,704.44/x
  3. Step 3: Cross multiply
    8,294.90x = 11,458.20 × 7,704.44
  4. Step 4: Simplify right side
    8,294.90x = 88,279,014.41
  5. Step 5: Solve for x
    x = 88,279,014.41/8,294.90
  6. Step 6: Final answer
    x = 10,642.57

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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.