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Finding the Fourth Proportional to 11,614.57, 16,034.75 and 7,647.21

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Solution

The fourth proportional to 11,614.57, 16,034.75 and 7,647.21 is: 10,557.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.57 : 16,034.75 = 7,647.21 : x
  2. Step 2: Convert to fraction form
    11,614.57/16,034.75 = 7,647.21/x
  3. Step 3: Cross multiply
    11,614.57x = 16,034.75 × 7,647.21
  4. Step 4: Simplify right side
    11,614.57x = 122,621,100.55
  5. Step 5: Solve for x
    x = 122,621,100.55/11,614.57
  6. Step 6: Final answer
    x = 10,557.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.