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Finding the Fourth Proportional to 8,393.00, 12,588.68 and 2,549.66

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Solution

The fourth proportional to 8,393.00, 12,588.68 and 2,549.66 is: 3,824.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,393.00 : 12,588.68 = 2,549.66 : x
  2. Step 2: Convert to fraction form
    8,393.00/12,588.68 = 2,549.66/x
  3. Step 3: Cross multiply
    8,393.00x = 12,588.68 × 2,549.66
  4. Step 4: Simplify right side
    8,393.00x = 32,096,778.16
  5. Step 5: Solve for x
    x = 32,096,778.16/8,393.00
  6. Step 6: Final answer
    x = 3,824.23

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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.