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Finding the Fourth Proportional to 11,606.48, 17,409.76 and 3,709.34

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Solution

The fourth proportional to 11,606.48, 17,409.76 and 3,709.34 is: 5,564.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.48 : 17,409.76 = 3,709.34 : x
  2. Step 2: Convert to fraction form
    11,606.48/17,409.76 = 3,709.34/x
  3. Step 3: Cross multiply
    11,606.48x = 17,409.76 × 3,709.34
  4. Step 4: Simplify right side
    11,606.48x = 64,578,719.16
  5. Step 5: Solve for x
    x = 64,578,719.16/11,606.48
  6. Step 6: Final answer
    x = 5,564.02

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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.