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Finding the Fourth Proportional to 8,380.53, 11,566.80 and 4,844.88

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Solution

The fourth proportional to 8,380.53, 11,566.80 and 4,844.88 is: 6,686.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.53 : 11,566.80 = 4,844.88 : x
  2. Step 2: Convert to fraction form
    8,380.53/11,566.80 = 4,844.88/x
  3. Step 3: Cross multiply
    8,380.53x = 11,566.80 × 4,844.88
  4. Step 4: Simplify right side
    8,380.53x = 56,039,757.98
  5. Step 5: Solve for x
    x = 56,039,757.98/8,380.53
  6. Step 6: Final answer
    x = 6,686.90

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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.