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Finding the Fourth Proportional to 7,677.56, 11,506.86 and 3,977.66

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Solution

The fourth proportional to 7,677.56, 11,506.86 and 3,977.66 is: 5,961.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.56 : 11,506.86 = 3,977.66 : x
  2. Step 2: Convert to fraction form
    7,677.56/11,506.86 = 3,977.66/x
  3. Step 3: Cross multiply
    7,677.56x = 11,506.86 × 3,977.66
  4. Step 4: Simplify right side
    7,677.56x = 45,770,319.21
  5. Step 5: Solve for x
    x = 45,770,319.21/7,677.56
  6. Step 6: Final answer
    x = 5,961.57

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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.