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Finding the Fourth Proportional to 11,512.50, 15,887.43 and 7,326.42

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Solution

The fourth proportional to 11,512.50, 15,887.43 and 7,326.42 is: 10,110.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.50 : 15,887.43 = 7,326.42 : x
  2. Step 2: Convert to fraction form
    11,512.50/15,887.43 = 7,326.42/x
  3. Step 3: Cross multiply
    11,512.50x = 15,887.43 × 7,326.42
  4. Step 4: Simplify right side
    11,512.50x = 116,397,984.90
  5. Step 5: Solve for x
    x = 116,397,984.90/11,512.50
  6. Step 6: Final answer
    x = 10,110.57

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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.