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Finding the Fourth Proportional to 11,909.61, 17,864.43 and 3,025.61

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Solution

The fourth proportional to 11,909.61, 17,864.43 and 3,025.61 is: 4,538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.61 : 17,864.43 = 3,025.61 : x
  2. Step 2: Convert to fraction form
    11,909.61/17,864.43 = 3,025.61/x
  3. Step 3: Cross multiply
    11,909.61x = 17,864.43 × 3,025.61
  4. Step 4: Simplify right side
    11,909.61x = 54,050,708.73
  5. Step 5: Solve for x
    x = 54,050,708.73/11,909.61
  6. Step 6: Final answer
    x = 4,538.41

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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.