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Finding the Fourth Proportional to 12,571.85, 18,858.72 and 3,807.47

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Solution

The fourth proportional to 12,571.85, 18,858.72 and 3,807.47 is: 5,711.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,571.85 : 18,858.72 = 3,807.47 : x
  2. Step 2: Convert to fraction form
    12,571.85/18,858.72 = 3,807.47/x
  3. Step 3: Cross multiply
    12,571.85x = 18,858.72 × 3,807.47
  4. Step 4: Simplify right side
    12,571.85x = 71,804,010.64
  5. Step 5: Solve for x
    x = 71,804,010.64/12,571.85
  6. Step 6: Final answer
    x = 5,711.49

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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.