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Finding the Fourth Proportional to 11,502.96, 15,858.36 and 9,512.88

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Solution

The fourth proportional to 11,502.96, 15,858.36 and 9,512.88 is: 13,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.96 : 15,858.36 = 9,512.88 : x
  2. Step 2: Convert to fraction form
    11,502.96/15,858.36 = 9,512.88/x
  3. Step 3: Cross multiply
    11,502.96x = 15,858.36 × 9,512.88
  4. Step 4: Simplify right side
    11,502.96x = 150,858,675.68
  5. Step 5: Solve for x
    x = 150,858,675.68/11,502.96
  6. Step 6: Final answer
    x = 13,114.77

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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.