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Finding the Fourth Proportional to 11,854.80, 17,771.13 and 5,928.03

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Solution

The fourth proportional to 11,854.80, 17,771.13 and 5,928.03 is: 8,886.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.80 : 17,771.13 = 5,928.03 : x
  2. Step 2: Convert to fraction form
    11,854.80/17,771.13 = 5,928.03/x
  3. Step 3: Cross multiply
    11,854.80x = 17,771.13 × 5,928.03
  4. Step 4: Simplify right side
    11,854.80x = 105,347,791.77
  5. Step 5: Solve for x
    x = 105,347,791.77/11,854.80
  6. Step 6: Final answer
    x = 8,886.51

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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.