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Finding the Fourth Proportional to 7,737.72, 11,597.94 and 3,348.60

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Solution

The fourth proportional to 7,737.72, 11,597.94 and 3,348.60 is: 5,019.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.72 : 11,597.94 = 3,348.60 : x
  2. Step 2: Convert to fraction form
    7,737.72/11,597.94 = 3,348.60/x
  3. Step 3: Cross multiply
    7,737.72x = 11,597.94 × 3,348.60
  4. Step 4: Simplify right side
    7,737.72x = 38,836,861.88
  5. Step 5: Solve for x
    x = 38,836,861.88/7,737.72
  6. Step 6: Final answer
    x = 5,019.16

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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.