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Finding the Fourth Proportional to 10,735.26, 14,814.82 and 6,485.73

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Solution

The fourth proportional to 10,735.26, 14,814.82 and 6,485.73 is: 8,950.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.26 : 14,814.82 = 6,485.73 : x
  2. Step 2: Convert to fraction form
    10,735.26/14,814.82 = 6,485.73/x
  3. Step 3: Cross multiply
    10,735.26x = 14,814.82 × 6,485.73
  4. Step 4: Simplify right side
    10,735.26x = 96,084,961.86
  5. Step 5: Solve for x
    x = 96,084,961.86/10,735.26
  6. Step 6: Final answer
    x = 8,950.41

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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.