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Finding the Fourth Proportional to 8,411.50, 12,623.01 and 2,939.50

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Solution

The fourth proportional to 8,411.50, 12,623.01 and 2,939.50 is: 4,411.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.50 : 12,623.01 = 2,939.50 : x
  2. Step 2: Convert to fraction form
    8,411.50/12,623.01 = 2,939.50/x
  3. Step 3: Cross multiply
    8,411.50x = 12,623.01 × 2,939.50
  4. Step 4: Simplify right side
    8,411.50x = 37,105,337.90
  5. Step 5: Solve for x
    x = 37,105,337.90/8,411.50
  6. Step 6: Final answer
    x = 4,411.26

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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.