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Finding the Fourth Proportional to 11,963.87, 17,946.64 and 4,063.17

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Solution

The fourth proportional to 11,963.87, 17,946.64 and 4,063.17 is: 6,095.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.87 : 17,946.64 = 4,063.17 : x
  2. Step 2: Convert to fraction form
    11,963.87/17,946.64 = 4,063.17/x
  3. Step 3: Cross multiply
    11,963.87x = 17,946.64 × 4,063.17
  4. Step 4: Simplify right side
    11,963.87x = 72,920,147.35
  5. Step 5: Solve for x
    x = 72,920,147.35/11,963.87
  6. Step 6: Final answer
    x = 6,095.03

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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.