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Finding the Fourth Proportional to 12,594.46, 18,894.43 and 3,829.15

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Solution

The fourth proportional to 12,594.46, 18,894.43 and 3,829.15 is: 5,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.46 : 18,894.43 = 3,829.15 : x
  2. Step 2: Convert to fraction form
    12,594.46/18,894.43 = 3,829.15/x
  3. Step 3: Cross multiply
    12,594.46x = 18,894.43 × 3,829.15
  4. Step 4: Simplify right side
    12,594.46x = 72,349,565.74
  5. Step 5: Solve for x
    x = 72,349,565.74/12,594.46
  6. Step 6: Final answer
    x = 5,744.55

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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.