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Finding the Fourth Proportional to 11,707.34, 17,564.99 and 5,466.69

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Solution

The fourth proportional to 11,707.34, 17,564.99 and 5,466.69 is: 8,201.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.34 : 17,564.99 = 5,466.69 : x
  2. Step 2: Convert to fraction form
    11,707.34/17,564.99 = 5,466.69/x
  3. Step 3: Cross multiply
    11,707.34x = 17,564.99 × 5,466.69
  4. Step 4: Simplify right side
    11,707.34x = 96,022,327.85
  5. Step 5: Solve for x
    x = 96,022,327.85/11,707.34
  6. Step 6: Final answer
    x = 8,201.89

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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.