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Finding the Fourth Proportional to 11,512.44, 17,287.92 and 10,064.16

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Solution

The fourth proportional to 11,512.44, 17,287.92 and 10,064.16 is: 15,113.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.44 : 17,287.92 = 10,064.16 : x
  2. Step 2: Convert to fraction form
    11,512.44/17,287.92 = 10,064.16/x
  3. Step 3: Cross multiply
    11,512.44x = 17,287.92 × 10,064.16
  4. Step 4: Simplify right side
    11,512.44x = 173,988,392.95
  5. Step 5: Solve for x
    x = 173,988,392.95/11,512.44
  6. Step 6: Final answer
    x = 15,113.08

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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.