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Finding the Fourth Proportional to 11,616.62, 17,423.30 and 4,689.50

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Solution

The fourth proportional to 11,616.62, 17,423.30 and 4,689.50 is: 7,033.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.62 : 17,423.30 = 4,689.50 : x
  2. Step 2: Convert to fraction form
    11,616.62/17,423.30 = 4,689.50/x
  3. Step 3: Cross multiply
    11,616.62x = 17,423.30 × 4,689.50
  4. Step 4: Simplify right side
    11,616.62x = 81,706,565.35
  5. Step 5: Solve for x
    x = 81,706,565.35/11,616.62
  6. Step 6: Final answer
    x = 7,033.59

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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.