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Finding the Fourth Proportional to 11,419.91, 15,749.23 and 9,512.07

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Solution

The fourth proportional to 11,419.91, 15,749.23 and 9,512.07 is: 13,118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419.91 : 15,749.23 = 9,512.07 : x
  2. Step 2: Convert to fraction form
    11,419.91/15,749.23 = 9,512.07/x
  3. Step 3: Cross multiply
    11,419.91x = 15,749.23 × 9,512.07
  4. Step 4: Simplify right side
    11,419.91x = 149,807,778.21
  5. Step 5: Solve for x
    x = 149,807,778.21/11,419.91
  6. Step 6: Final answer
    x = 13,118.12

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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.