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Finding the Fourth Proportional to 11,584.54, 15,977.15 and 7,105.14

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Solution

The fourth proportional to 11,584.54, 15,977.15 and 7,105.14 is: 9,799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.54 : 15,977.15 = 7,105.14 : x
  2. Step 2: Convert to fraction form
    11,584.54/15,977.15 = 7,105.14/x
  3. Step 3: Cross multiply
    11,584.54x = 15,977.15 × 7,105.14
  4. Step 4: Simplify right side
    11,584.54x = 113,519,878.67
  5. Step 5: Solve for x
    x = 113,519,878.67/11,584.54
  6. Step 6: Final answer
    x = 9,799.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.