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Finding the Fourth Proportional to 12,576.82, 18,866.85 and 3,810.19

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Solution

The fourth proportional to 12,576.82, 18,866.85 and 3,810.19 is: 5,715.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.82 : 18,866.85 = 3,810.19 : x
  2. Step 2: Convert to fraction form
    12,576.82/18,866.85 = 3,810.19/x
  3. Step 3: Cross multiply
    12,576.82x = 18,866.85 × 3,810.19
  4. Step 4: Simplify right side
    12,576.82x = 71,886,169.82
  5. Step 5: Solve for x
    x = 71,886,169.82/12,576.82
  6. Step 6: Final answer
    x = 5,715.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.