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Finding the Fourth Proportional to 11,909.52, 17,864.19 and 3,589.74

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Solution

The fourth proportional to 11,909.52, 17,864.19 and 3,589.74 is: 5,384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.52 : 17,864.19 = 3,589.74 : x
  2. Step 2: Convert to fraction form
    11,909.52/17,864.19 = 3,589.74/x
  3. Step 3: Cross multiply
    11,909.52x = 17,864.19 × 3,589.74
  4. Step 4: Simplify right side
    11,909.52x = 64,127,797.41
  5. Step 5: Solve for x
    x = 64,127,797.41/11,909.52
  6. Step 6: Final answer
    x = 5,384.58

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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.