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Finding the Fourth Proportional to 11,564.16, 17,346.80 and 3,772.96

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Solution

The fourth proportional to 11,564.16, 17,346.80 and 3,772.96 is: 5,659.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.16 : 17,346.80 = 3,772.96 : x
  2. Step 2: Convert to fraction form
    11,564.16/17,346.80 = 3,772.96/x
  3. Step 3: Cross multiply
    11,564.16x = 17,346.80 × 3,772.96
  4. Step 4: Simplify right side
    11,564.16x = 65,448,782.53
  5. Step 5: Solve for x
    x = 65,448,782.53/11,564.16
  6. Step 6: Final answer
    x = 5,659.62

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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.