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Finding the Fourth Proportional to 7,866.56, 10,855.87 and 4,329.90

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Solution

The fourth proportional to 7,866.56, 10,855.87 and 4,329.90 is: 5,975.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.56 : 10,855.87 = 4,329.90 : x
  2. Step 2: Convert to fraction form
    7,866.56/10,855.87 = 4,329.90/x
  3. Step 3: Cross multiply
    7,866.56x = 10,855.87 × 4,329.90
  4. Step 4: Simplify right side
    7,866.56x = 47,004,820.69
  5. Step 5: Solve for x
    x = 47,004,820.69/7,866.56
  6. Step 6: Final answer
    x = 5,975.27

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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.