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Finding the Fourth Proportional to 8,364.75, 12,549.15 and 2,521.41

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Solution

The fourth proportional to 8,364.75, 12,549.15 and 2,521.41 is: 3,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.75 : 12,549.15 = 2,521.41 : x
  2. Step 2: Convert to fraction form
    8,364.75/12,549.15 = 2,521.41/x
  3. Step 3: Cross multiply
    8,364.75x = 12,549.15 × 2,521.41
  4. Step 4: Simplify right side
    8,364.75x = 31,641,552.30
  5. Step 5: Solve for x
    x = 31,641,552.30/8,364.75
  6. Step 6: Final answer
    x = 3,782.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.