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Finding the Fourth Proportional to 11,604.36, 15,995.86 and 9,712.61

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Solution

The fourth proportional to 11,604.36, 15,995.86 and 9,712.61 is: 13,388.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.36 : 15,995.86 = 9,712.61 : x
  2. Step 2: Convert to fraction form
    11,604.36/15,995.86 = 9,712.61/x
  3. Step 3: Cross multiply
    11,604.36x = 15,995.86 × 9,712.61
  4. Step 4: Simplify right side
    11,604.36x = 155,361,469.82
  5. Step 5: Solve for x
    x = 155,361,469.82/11,604.36
  6. Step 6: Final answer
    x = 13,388.20

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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.