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Finding the Fourth Proportional to 12,594.28, 18,892.09 and 3,828.53

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Solution

The fourth proportional to 12,594.28, 18,892.09 and 3,828.53 is: 5,742.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.28 : 18,892.09 = 3,828.53 : x
  2. Step 2: Convert to fraction form
    12,594.28/18,892.09 = 3,828.53/x
  3. Step 3: Cross multiply
    12,594.28x = 18,892.09 × 3,828.53
  4. Step 4: Simplify right side
    12,594.28x = 72,328,838.87
  5. Step 5: Solve for x
    x = 72,328,838.87/12,594.28
  6. Step 6: Final answer
    x = 5,742.99

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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.