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Finding the Fourth Proportional to 7,878.87, 10,872.83 and 5,226.80

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Solution

The fourth proportional to 7,878.87, 10,872.83 and 5,226.80 is: 7,212.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.87 : 10,872.83 = 5,226.80 : x
  2. Step 2: Convert to fraction form
    7,878.87/10,872.83 = 5,226.80/x
  3. Step 3: Cross multiply
    7,878.87x = 10,872.83 × 5,226.80
  4. Step 4: Simplify right side
    7,878.87x = 56,830,066.55
  5. Step 5: Solve for x
    x = 56,830,066.55/7,878.87
  6. Step 6: Final answer
    x = 7,212.97

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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.