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Finding the Fourth Proportional to 11,590.21, 17,377.89 and 7,636.87

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Solution

The fourth proportional to 11,590.21, 17,377.89 and 7,636.87 is: 11,450.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.21 : 17,377.89 = 7,636.87 : x
  2. Step 2: Convert to fraction form
    11,590.21/17,377.89 = 7,636.87/x
  3. Step 3: Cross multiply
    11,590.21x = 17,377.89 × 7,636.87
  4. Step 4: Simplify right side
    11,590.21x = 132,712,686.80
  5. Step 5: Solve for x
    x = 132,712,686.80/11,590.21
  6. Step 6: Final answer
    x = 11,450.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.