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Finding the Fourth Proportional to 7,878.25, 10,871.99 and 4,734.64

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Solution

The fourth proportional to 7,878.25, 10,871.99 and 4,734.64 is: 6,533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.25 : 10,871.99 = 4,734.64 : x
  2. Step 2: Convert to fraction form
    7,878.25/10,871.99 = 4,734.64/x
  3. Step 3: Cross multiply
    7,878.25x = 10,871.99 × 4,734.64
  4. Step 4: Simplify right side
    7,878.25x = 51,474,958.73
  5. Step 5: Solve for x
    x = 51,474,958.73/7,878.25
  6. Step 6: Final answer
    x = 6,533.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.