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Finding the Fourth Proportional to 11,606.32, 17,407.81 and 3,709.74

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Solution

The fourth proportional to 11,606.32, 17,407.81 and 3,709.74 is: 5,564.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.32 : 17,407.81 = 3,709.74 : x
  2. Step 2: Convert to fraction form
    11,606.32/17,407.81 = 3,709.74/x
  3. Step 3: Cross multiply
    11,606.32x = 17,407.81 × 3,709.74
  4. Step 4: Simplify right side
    11,606.32x = 64,578,362.03
  5. Step 5: Solve for x
    x = 64,578,362.03/11,606.32
  6. Step 6: Final answer
    x = 5,564.07

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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.