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Finding the Fourth Proportional to 7,771.87, 11,647.63 and 3,089.40

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Solution

The fourth proportional to 7,771.87, 11,647.63 and 3,089.40 is: 4,630.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.87 : 11,647.63 = 3,089.40 : x
  2. Step 2: Convert to fraction form
    7,771.87/11,647.63 = 3,089.40/x
  3. Step 3: Cross multiply
    7,771.87x = 11,647.63 × 3,089.40
  4. Step 4: Simplify right side
    7,771.87x = 35,984,188.12
  5. Step 5: Solve for x
    x = 35,984,188.12/7,771.87
  6. Step 6: Final answer
    x = 4,630.06

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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.