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Finding the Fourth Proportional to 7,707.95, 11,561.33 and 2,161

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Solution

The fourth proportional to 7,707.95, 11,561.33 and 2,161 is: 3,241.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.95 : 11,561.33 = 2,161 : x
  2. Step 2: Convert to fraction form
    7,707.95/11,561.33 = 2,161/x
  3. Step 3: Cross multiply
    7,707.95x = 11,561.33 × 2,161
  4. Step 4: Simplify right side
    7,707.95x = 24,984,034.13
  5. Step 5: Solve for x
    x = 24,984,034.13/7,707.95
  6. Step 6: Final answer
    x = 3,241.33

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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.