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Finding the Fourth Proportional to 7,961.50, 10,986.05 and 4,977.66

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Solution

The fourth proportional to 7,961.50, 10,986.05 and 4,977.66 is: 6,868.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961.50 : 10,986.05 = 4,977.66 : x
  2. Step 2: Convert to fraction form
    7,961.50/10,986.05 = 4,977.66/x
  3. Step 3: Cross multiply
    7,961.50x = 10,986.05 × 4,977.66
  4. Step 4: Simplify right side
    7,961.50x = 54,684,796.75
  5. Step 5: Solve for x
    x = 54,684,796.75/7,961.50
  6. Step 6: Final answer
    x = 6,868.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.