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Finding the Fourth Proportional to 7,866.44, 10,855.24 and 4,329.08

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Solution

The fourth proportional to 7,866.44, 10,855.24 and 4,329.08 is: 5,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.44 : 10,855.24 = 4,329.08 : x
  2. Step 2: Convert to fraction form
    7,866.44/10,855.24 = 4,329.08/x
  3. Step 3: Cross multiply
    7,866.44x = 10,855.24 × 4,329.08
  4. Step 4: Simplify right side
    7,866.44x = 46,993,202.38
  5. Step 5: Solve for x
    x = 46,993,202.38/7,866.44
  6. Step 6: Final answer
    x = 5,973.88

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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.