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Finding the Fourth Proportional to 11,197.44, 15,448.32 and 11,180.16

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Solution

The fourth proportional to 11,197.44, 15,448.32 and 11,180.16 is: 15,424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197.44 : 15,448.32 = 11,180.16 : x
  2. Step 2: Convert to fraction form
    11,197.44/15,448.32 = 11,180.16/x
  3. Step 3: Cross multiply
    11,197.44x = 15,448.32 × 11,180.16
  4. Step 4: Simplify right side
    11,197.44x = 172,714,689.33
  5. Step 5: Solve for x
    x = 172,714,689.33/11,197.44
  6. Step 6: Final answer
    x = 15,424.48

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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.