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Finding the Fourth Proportional to 11,606.61, 17,409.89 and 4,211.06

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Solution

The fourth proportional to 11,606.61, 17,409.89 and 4,211.06 is: 6,316.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.61 : 17,409.89 = 4,211.06 : x
  2. Step 2: Convert to fraction form
    11,606.61/17,409.89 = 4,211.06/x
  3. Step 3: Cross multiply
    11,606.61x = 17,409.89 × 4,211.06
  4. Step 4: Simplify right side
    11,606.61x = 73,313,983.28
  5. Step 5: Solve for x
    x = 73,313,983.28/11,606.61
  6. Step 6: Final answer
    x = 6,316.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.