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Finding the Fourth Proportional to 7,770.66, 11,656.74 and 2,504.34

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Solution

The fourth proportional to 7,770.66, 11,656.74 and 2,504.34 is: 3,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.66 : 11,656.74 = 2,504.34 : x
  2. Step 2: Convert to fraction form
    7,770.66/11,656.74 = 2,504.34/x
  3. Step 3: Cross multiply
    7,770.66x = 11,656.74 × 2,504.34
  4. Step 4: Simplify right side
    7,770.66x = 29,192,440.25
  5. Step 5: Solve for x
    x = 29,192,440.25/7,770.66
  6. Step 6: Final answer
    x = 3,756.75

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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.