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Finding the Fourth Proportional to 7,770.34, 11,651.40 and 4,063.48

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Solution

The fourth proportional to 7,770.34, 11,651.40 and 4,063.48 is: 6,093.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.34 : 11,651.40 = 4,063.48 : x
  2. Step 2: Convert to fraction form
    7,770.34/11,651.40 = 4,063.48/x
  3. Step 3: Cross multiply
    7,770.34x = 11,651.40 × 4,063.48
  4. Step 4: Simplify right side
    7,770.34x = 47,345,230.87
  5. Step 5: Solve for x
    x = 47,345,230.87/7,770.34
  6. Step 6: Final answer
    x = 6,093.07

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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.