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Finding the Fourth Proportional to 7,865.92, 10,855.20 and 4,329.38

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Solution

The fourth proportional to 7,865.92, 10,855.20 and 4,329.38 is: 5,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.92 : 10,855.20 = 4,329.38 : x
  2. Step 2: Convert to fraction form
    7,865.92/10,855.20 = 4,329.38/x
  3. Step 3: Cross multiply
    7,865.92x = 10,855.20 × 4,329.38
  4. Step 4: Simplify right side
    7,865.92x = 46,996,285.78
  5. Step 5: Solve for x
    x = 46,996,285.78/7,865.92
  6. Step 6: Final answer
    x = 5,974.67

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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.