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Finding the Fourth Proportional to 7,770.39, 11,656.80 and 2,577.48

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Solution

The fourth proportional to 7,770.39, 11,656.80 and 2,577.48 is: 3,866.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.39 : 11,656.80 = 2,577.48 : x
  2. Step 2: Convert to fraction form
    7,770.39/11,656.80 = 2,577.48/x
  3. Step 3: Cross multiply
    7,770.39x = 11,656.80 × 2,577.48
  4. Step 4: Simplify right side
    7,770.39x = 30,045,168.86
  5. Step 5: Solve for x
    x = 30,045,168.86/7,770.39
  6. Step 6: Final answer
    x = 3,866.62

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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.