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Finding the Fourth Proportional to 11,806.04, 17,711.22 and 4,881.08

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Solution

The fourth proportional to 11,806.04, 17,711.22 and 4,881.08 is: 7,322.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.04 : 17,711.22 = 4,881.08 : x
  2. Step 2: Convert to fraction form
    11,806.04/17,711.22 = 4,881.08/x
  3. Step 3: Cross multiply
    11,806.04x = 17,711.22 × 4,881.08
  4. Step 4: Simplify right side
    11,806.04x = 86,449,881.72
  5. Step 5: Solve for x
    x = 86,449,881.72/11,806.04
  6. Step 6: Final answer
    x = 7,322.51

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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.