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Finding the Fourth Proportional to 7,697.68, 11,528.18 and 4,915.73

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Solution

The fourth proportional to 7,697.68, 11,528.18 and 4,915.73 is: 7,361.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.68 : 11,528.18 = 4,915.73 : x
  2. Step 2: Convert to fraction form
    7,697.68/11,528.18 = 4,915.73/x
  3. Step 3: Cross multiply
    7,697.68x = 11,528.18 × 4,915.73
  4. Step 4: Simplify right side
    7,697.68x = 56,669,420.27
  5. Step 5: Solve for x
    x = 56,669,420.27/7,697.68
  6. Step 6: Final answer
    x = 7,361.89

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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.