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Finding the Fourth Proportional to 6,121.34, 8,384.15 and 5,762.29

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Solution

The fourth proportional to 6,121.34, 8,384.15 and 5,762.29 is: 7,892.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121.34 : 8,384.15 = 5,762.29 : x
  2. Step 2: Convert to fraction form
    6,121.34/8,384.15 = 5,762.29/x
  3. Step 3: Cross multiply
    6,121.34x = 8,384.15 × 5,762.29
  4. Step 4: Simplify right side
    6,121.34x = 48,311,903.70
  5. Step 5: Solve for x
    x = 48,311,903.70/6,121.34
  6. Step 6: Final answer
    x = 7,892.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.