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Finding the Fourth Proportional to 7,697.44, 11,527.26 and 4,915.90

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Solution

The fourth proportional to 7,697.44, 11,527.26 and 4,915.90 is: 7,361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.44 : 11,527.26 = 4,915.90 : x
  2. Step 2: Convert to fraction form
    7,697.44/11,527.26 = 4,915.90/x
  3. Step 3: Cross multiply
    7,697.44x = 11,527.26 × 4,915.90
  4. Step 4: Simplify right side
    7,697.44x = 56,666,857.43
  5. Step 5: Solve for x
    x = 56,666,857.43/7,697.44
  6. Step 6: Final answer
    x = 7,361.78

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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.