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Finding the Fourth Proportional to 6,380.45, 8,809.31 and 5,706.16

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Solution

The fourth proportional to 6,380.45, 8,809.31 and 5,706.16 is: 7,878.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.45 : 8,809.31 = 5,706.16 : x
  2. Step 2: Convert to fraction form
    6,380.45/8,809.31 = 5,706.16/x
  3. Step 3: Cross multiply
    6,380.45x = 8,809.31 × 5,706.16
  4. Step 4: Simplify right side
    6,380.45x = 50,267,332.35
  5. Step 5: Solve for x
    x = 50,267,332.35/6,380.45
  6. Step 6: Final answer
    x = 7,878.34

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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.