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Finding the Fourth Proportional to 8,300.64, 12,442.56 and 5,380.80

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Solution

The fourth proportional to 8,300.64, 12,442.56 and 5,380.80 is: 8,065.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.64 : 12,442.56 = 5,380.80 : x
  2. Step 2: Convert to fraction form
    8,300.64/12,442.56 = 5,380.80/x
  3. Step 3: Cross multiply
    8,300.64x = 12,442.56 × 5,380.80
  4. Step 4: Simplify right side
    8,300.64x = 66,950,926.85
  5. Step 5: Solve for x
    x = 66,950,926.85/8,300.64
  6. Step 6: Final answer
    x = 8,065.75

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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.