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Finding the Fourth Proportional to 12,521.72, 18,782.58 and 3,287

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Solution

The fourth proportional to 12,521.72, 18,782.58 and 3,287 is: 4,930.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,521.72 : 18,782.58 = 3,287 : x
  2. Step 2: Convert to fraction form
    12,521.72/18,782.58 = 3,287/x
  3. Step 3: Cross multiply
    12,521.72x = 18,782.58 × 3,287
  4. Step 4: Simplify right side
    12,521.72x = 61,738,340.46
  5. Step 5: Solve for x
    x = 61,738,340.46/12,521.72
  6. Step 6: Final answer
    x = 4,930.50

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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.