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Finding the Fourth Proportional to 7,860.62, 11,783.59 and 5,396.60

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Solution

The fourth proportional to 7,860.62, 11,783.59 and 5,396.60 is: 8,089.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.62 : 11,783.59 = 5,396.60 : x
  2. Step 2: Convert to fraction form
    7,860.62/11,783.59 = 5,396.60/x
  3. Step 3: Cross multiply
    7,860.62x = 11,783.59 × 5,396.60
  4. Step 4: Simplify right side
    7,860.62x = 63,591,321.79
  5. Step 5: Solve for x
    x = 63,591,321.79/7,860.62
  6. Step 6: Final answer
    x = 8,089.86

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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.