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Finding the Fourth Proportional to 7,771.68, 11,655.36 and 2,577.60

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Solution

The fourth proportional to 7,771.68, 11,655.36 and 2,577.60 is: 3,865.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.68 : 11,655.36 = 2,577.60 : x
  2. Step 2: Convert to fraction form
    7,771.68/11,655.36 = 2,577.60/x
  3. Step 3: Cross multiply
    7,771.68x = 11,655.36 × 2,577.60
  4. Step 4: Simplify right side
    7,771.68x = 30,042,855.94
  5. Step 5: Solve for x
    x = 30,042,855.94/7,771.68
  6. Step 6: Final answer
    x = 3,865.68

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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.