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Finding the Fourth Proportional to 11,512.12, 17,256.14 and 7,814.64

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Solution

The fourth proportional to 11,512.12, 17,256.14 and 7,814.64 is: 11,713.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.12 : 17,256.14 = 7,814.64 : x
  2. Step 2: Convert to fraction form
    11,512.12/17,256.14 = 7,814.64/x
  3. Step 3: Cross multiply
    11,512.12x = 17,256.14 × 7,814.64
  4. Step 4: Simplify right side
    11,512.12x = 134,850,521.89
  5. Step 5: Solve for x
    x = 134,850,521.89/11,512.12
  6. Step 6: Final answer
    x = 11,713.79

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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.