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Finding the Fourth Proportional to 11,852.89, 17,775.52 and 6,590.41

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Solution

The fourth proportional to 11,852.89, 17,775.52 and 6,590.41 is: 9,883.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.89 : 17,775.52 = 6,590.41 : x
  2. Step 2: Convert to fraction form
    11,852.89/17,775.52 = 6,590.41/x
  3. Step 3: Cross multiply
    11,852.89x = 17,775.52 × 6,590.41
  4. Step 4: Simplify right side
    11,852.89x = 117,147,903.85
  5. Step 5: Solve for x
    x = 117,147,903.85/11,852.89
  6. Step 6: Final answer
    x = 9,883.49

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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.