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Finding the Fourth Proportional to 7,790.40, 11,685.60 and 3,902.40

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Solution

The fourth proportional to 7,790.40, 11,685.60 and 3,902.40 is: 5,853.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.40 : 11,685.60 = 3,902.40 : x
  2. Step 2: Convert to fraction form
    7,790.40/11,685.60 = 3,902.40/x
  3. Step 3: Cross multiply
    7,790.40x = 11,685.60 × 3,902.40
  4. Step 4: Simplify right side
    7,790.40x = 45,601,885.44
  5. Step 5: Solve for x
    x = 45,601,885.44/7,790.40
  6. Step 6: Final answer
    x = 5,853.60

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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.