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Finding the Fourth Proportional to 11,153.64, 16,730.49 and 3,763.29

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Solution

The fourth proportional to 11,153.64, 16,730.49 and 3,763.29 is: 5,644.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,153.64 : 16,730.49 = 3,763.29 : x
  2. Step 2: Convert to fraction form
    11,153.64/16,730.49 = 3,763.29/x
  3. Step 3: Cross multiply
    11,153.64x = 16,730.49 × 3,763.29
  4. Step 4: Simplify right side
    11,153.64x = 62,961,685.71
  5. Step 5: Solve for x
    x = 62,961,685.71/11,153.64
  6. Step 6: Final answer
    x = 5,644.95

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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.