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Finding the Fourth Proportional to 7,635.36, 11,438.67 and 5,986.90

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Solution

The fourth proportional to 7,635.36, 11,438.67 and 5,986.90 is: 8,969.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635.36 : 11,438.67 = 5,986.90 : x
  2. Step 2: Convert to fraction form
    7,635.36/11,438.67 = 5,986.90/x
  3. Step 3: Cross multiply
    7,635.36x = 11,438.67 × 5,986.90
  4. Step 4: Simplify right side
    7,635.36x = 68,482,173.42
  5. Step 5: Solve for x
    x = 68,482,173.42/7,635.36
  6. Step 6: Final answer
    x = 8,969.08

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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.