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Finding the Fourth Proportional to 10,865.34, 14,993.37 and 6,149.52

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Solution

The fourth proportional to 10,865.34, 14,993.37 and 6,149.52 is: 8,485.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.34 : 14,993.37 = 6,149.52 : x
  2. Step 2: Convert to fraction form
    10,865.34/14,993.37 = 6,149.52/x
  3. Step 3: Cross multiply
    10,865.34x = 14,993.37 × 6,149.52
  4. Step 4: Simplify right side
    10,865.34x = 92,202,028.68
  5. Step 5: Solve for x
    x = 92,202,028.68/10,865.34
  6. Step 6: Final answer
    x = 8,485.89

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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.