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Finding the Fourth Proportional to 12,378.52, 18,565.81 and 3,611.39

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Solution

The fourth proportional to 12,378.52, 18,565.81 and 3,611.39 is: 5,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.52 : 18,565.81 = 3,611.39 : x
  2. Step 2: Convert to fraction form
    12,378.52/18,565.81 = 3,611.39/x
  3. Step 3: Cross multiply
    12,378.52x = 18,565.81 × 3,611.39
  4. Step 4: Simplify right side
    12,378.52x = 67,048,278.72
  5. Step 5: Solve for x
    x = 67,048,278.72/12,378.52
  6. Step 6: Final answer
    x = 5,416.50

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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.