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Finding the Fourth Proportional to 11,590.51, 17,367.87 and 7,827.54

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Solution

The fourth proportional to 11,590.51, 17,367.87 and 7,827.54 is: 11,729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.51 : 17,367.87 = 7,827.54 : x
  2. Step 2: Convert to fraction form
    11,590.51/17,367.87 = 7,827.54/x
  3. Step 3: Cross multiply
    11,590.51x = 17,367.87 × 7,827.54
  4. Step 4: Simplify right side
    11,590.51x = 135,947,658.00
  5. Step 5: Solve for x
    x = 135,947,658.00/11,590.51
  6. Step 6: Final answer
    x = 11,729.23

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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.