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Finding the Fourth Proportional to 11,496.16, 17,247.24 and 3,705.16

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Solution

The fourth proportional to 11,496.16, 17,247.24 and 3,705.16 is: 5,558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.16 : 17,247.24 = 3,705.16 : x
  2. Step 2: Convert to fraction form
    11,496.16/17,247.24 = 3,705.16/x
  3. Step 3: Cross multiply
    11,496.16x = 17,247.24 × 3,705.16
  4. Step 4: Simplify right side
    11,496.16x = 63,903,783.76
  5. Step 5: Solve for x
    x = 63,903,783.76/11,496.16
  6. Step 6: Final answer
    x = 5,558.71

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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.