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Finding the Fourth Proportional to 11,606.56, 17,409.76 and 4,680.96

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Solution

The fourth proportional to 11,606.56, 17,409.76 and 4,680.96 is: 7,021.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.56 : 17,409.76 = 4,680.96 : x
  2. Step 2: Convert to fraction form
    11,606.56/17,409.76 = 4,680.96/x
  3. Step 3: Cross multiply
    11,606.56x = 17,409.76 × 4,680.96
  4. Step 4: Simplify right side
    11,606.56x = 81,494,390.17
  5. Step 5: Solve for x
    x = 81,494,390.17/11,606.56
  6. Step 6: Final answer
    x = 7,021.41

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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.