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Finding the Fourth Proportional to 7,729.68, 11,573.73 and 6,359.55

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Solution

The fourth proportional to 7,729.68, 11,573.73 and 6,359.55 is: 9,522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.68 : 11,573.73 = 6,359.55 : x
  2. Step 2: Convert to fraction form
    7,729.68/11,573.73 = 6,359.55/x
  3. Step 3: Cross multiply
    7,729.68x = 11,573.73 × 6,359.55
  4. Step 4: Simplify right side
    7,729.68x = 73,603,714.62
  5. Step 5: Solve for x
    x = 73,603,714.62/7,729.68
  6. Step 6: Final answer
    x = 9,522.22

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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.