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Finding the Fourth Proportional to 11,584.84, 17,373.84 and 5,009.44

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Solution

The fourth proportional to 11,584.84, 17,373.84 and 5,009.44 is: 7,512.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.84 : 17,373.84 = 5,009.44 : x
  2. Step 2: Convert to fraction form
    11,584.84/17,373.84 = 5,009.44/x
  3. Step 3: Cross multiply
    11,584.84x = 17,373.84 × 5,009.44
  4. Step 4: Simplify right side
    11,584.84x = 87,033,209.05
  5. Step 5: Solve for x
    x = 87,033,209.05/11,584.84
  6. Step 6: Final answer
    x = 7,512.68

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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.