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Finding the Fourth Proportional to 8,178.01, 11,274.31 and 5,521.21

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Solution

The fourth proportional to 8,178.01, 11,274.31 and 5,521.21 is: 7,611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.01 : 11,274.31 = 5,521.21 : x
  2. Step 2: Convert to fraction form
    8,178.01/11,274.31 = 5,521.21/x
  3. Step 3: Cross multiply
    8,178.01x = 11,274.31 × 5,521.21
  4. Step 4: Simplify right side
    8,178.01x = 62,247,762.94
  5. Step 5: Solve for x
    x = 62,247,762.94/8,178.01
  6. Step 6: Final answer
    x = 7,611.61

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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.