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Finding the Fourth Proportional to 11,509.82, 17,266.95 and 4,489.55

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Solution

The fourth proportional to 11,509.82, 17,266.95 and 4,489.55 is: 6,735.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.82 : 17,266.95 = 4,489.55 : x
  2. Step 2: Convert to fraction form
    11,509.82/17,266.95 = 4,489.55/x
  3. Step 3: Cross multiply
    11,509.82x = 17,266.95 × 4,489.55
  4. Step 4: Simplify right side
    11,509.82x = 77,520,749.04
  5. Step 5: Solve for x
    x = 77,520,749.04/11,509.82
  6. Step 6: Final answer
    x = 6,735.19

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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.