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Finding the Fourth Proportional to 7,611.84, 11,391.80 and 6,380.64

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Solution

The fourth proportional to 7,611.84, 11,391.80 and 6,380.64 is: 9,549.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,611.84 : 11,391.80 = 6,380.64 : x
  2. Step 2: Convert to fraction form
    7,611.84/11,391.80 = 6,380.64/x
  3. Step 3: Cross multiply
    7,611.84x = 11,391.80 × 6,380.64
  4. Step 4: Simplify right side
    7,611.84x = 72,686,974.75
  5. Step 5: Solve for x
    x = 72,686,974.75/7,611.84
  6. Step 6: Final answer
    x = 9,549.20

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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.