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Finding the Fourth Proportional to 12,594.03, 18,892.10 and 3,829.02

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Solution

The fourth proportional to 12,594.03, 18,892.10 and 3,829.02 is: 5,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.03 : 18,892.10 = 3,829.02 : x
  2. Step 2: Convert to fraction form
    12,594.03/18,892.10 = 3,829.02/x
  3. Step 3: Cross multiply
    12,594.03x = 18,892.10 × 3,829.02
  4. Step 4: Simplify right side
    12,594.03x = 72,338,115.14
  5. Step 5: Solve for x
    x = 72,338,115.14/12,594.03
  6. Step 6: Final answer
    x = 5,743.84

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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.