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Finding the Fourth Proportional to 8,381.01, 12,570.12 and 2,834.22

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Solution

The fourth proportional to 8,381.01, 12,570.12 and 2,834.22 is: 4,250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.01 : 12,570.12 = 2,834.22 : x
  2. Step 2: Convert to fraction form
    8,381.01/12,570.12 = 2,834.22/x
  3. Step 3: Cross multiply
    8,381.01x = 12,570.12 × 2,834.22
  4. Step 4: Simplify right side
    8,381.01x = 35,626,485.51
  5. Step 5: Solve for x
    x = 35,626,485.51/8,381.01
  6. Step 6: Final answer
    x = 4,250.86

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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.