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Finding the Fourth Proportional to 11,606.36, 16,016.78 and 6,301.17

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Solution

The fourth proportional to 11,606.36, 16,016.78 and 6,301.17 is: 8,695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.36 : 16,016.78 = 6,301.17 : x
  2. Step 2: Convert to fraction form
    11,606.36/16,016.78 = 6,301.17/x
  3. Step 3: Cross multiply
    11,606.36x = 16,016.78 × 6,301.17
  4. Step 4: Simplify right side
    11,606.36x = 100,924,422.13
  5. Step 5: Solve for x
    x = 100,924,422.13/11,606.36
  6. Step 6: Final answer
    x = 8,695.62

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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.