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Finding the Fourth Proportional to 7,770.66, 11,651.13 and 3,608.07

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Solution

The fourth proportional to 7,770.66, 11,651.13 and 3,608.07 is: 5,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.66 : 11,651.13 = 3,608.07 : x
  2. Step 2: Convert to fraction form
    7,770.66/11,651.13 = 3,608.07/x
  3. Step 3: Cross multiply
    7,770.66x = 11,651.13 × 3,608.07
  4. Step 4: Simplify right side
    7,770.66x = 42,038,092.62
  5. Step 5: Solve for x
    x = 42,038,092.62/7,770.66
  6. Step 6: Final answer
    x = 5,409.85

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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.