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Finding the Fourth Proportional to 7,872.56, 10,869.36 and 6,076.80

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Solution

The fourth proportional to 7,872.56, 10,869.36 and 6,076.80 is: 8,390.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.56 : 10,869.36 = 6,076.80 : x
  2. Step 2: Convert to fraction form
    7,872.56/10,869.36 = 6,076.80/x
  3. Step 3: Cross multiply
    7,872.56x = 10,869.36 × 6,076.80
  4. Step 4: Simplify right side
    7,872.56x = 66,050,926.85
  5. Step 5: Solve for x
    x = 66,050,926.85/7,872.56
  6. Step 6: Final answer
    x = 8,390.02

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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.