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Finding the Fourth Proportional to 12,576, 18,863.36 and 3,810.88

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Solution

The fourth proportional to 12,576, 18,863.36 and 3,810.88 is: 5,716.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576 : 18,863.36 = 3,810.88 : x
  2. Step 2: Convert to fraction form
    12,576/18,863.36 = 3,810.88/x
  3. Step 3: Cross multiply
    12,576x = 18,863.36 × 3,810.88
  4. Step 4: Simplify right side
    12,576x = 71,886,001.36
  5. Step 5: Solve for x
    x = 71,886,001.36/12,576
  6. Step 6: Final answer
    x = 5,716.13

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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.