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Finding the Fourth Proportional to 11,829.16, 17,743.72 and 5,987.44

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Solution

The fourth proportional to 11,829.16, 17,743.72 and 5,987.44 is: 8,981.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.16 : 17,743.72 = 5,987.44 : x
  2. Step 2: Convert to fraction form
    11,829.16/17,743.72 = 5,987.44/x
  3. Step 3: Cross multiply
    11,829.16x = 17,743.72 × 5,987.44
  4. Step 4: Simplify right side
    11,829.16x = 106,239,458.88
  5. Step 5: Solve for x
    x = 106,239,458.88/11,829.16
  6. Step 6: Final answer
    x = 8,981.15

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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.