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Finding the Fourth Proportional to 8,381.88, 12,573 and 2,538.48

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Solution

The fourth proportional to 8,381.88, 12,573 and 2,538.48 is: 3,807.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.88 : 12,573 = 2,538.48 : x
  2. Step 2: Convert to fraction form
    8,381.88/12,573 = 2,538.48/x
  3. Step 3: Cross multiply
    8,381.88x = 12,573 × 2,538.48
  4. Step 4: Simplify right side
    8,381.88x = 31,916,309.04
  5. Step 5: Solve for x
    x = 31,916,309.04/8,381.88
  6. Step 6: Final answer
    x = 3,807.77

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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.