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Finding the Fourth Proportional to 11,806.08, 17,716.14 and 5,963.28

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Solution

The fourth proportional to 11,806.08, 17,716.14 and 5,963.28 is: 8,948.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.08 : 17,716.14 = 5,963.28 : x
  2. Step 2: Convert to fraction form
    11,806.08/17,716.14 = 5,963.28/x
  3. Step 3: Cross multiply
    11,806.08x = 17,716.14 × 5,963.28
  4. Step 4: Simplify right side
    11,806.08x = 105,646,303.34
  5. Step 5: Solve for x
    x = 105,646,303.34/11,806.08
  6. Step 6: Final answer
    x = 8,948.47

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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.