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Finding the Fourth Proportional to 11,477.40, 17,221.32 and 6,806.64

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Solution

The fourth proportional to 11,477.40, 17,221.32 and 6,806.64 is: 10,213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.40 : 17,221.32 = 6,806.64 : x
  2. Step 2: Convert to fraction form
    11,477.40/17,221.32 = 6,806.64/x
  3. Step 3: Cross multiply
    11,477.40x = 17,221.32 × 6,806.64
  4. Step 4: Simplify right side
    11,477.40x = 117,219,325.56
  5. Step 5: Solve for x
    x = 117,219,325.56/11,477.40
  6. Step 6: Final answer
    x = 10,213.06

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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.