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Finding the Fourth Proportional to 8,435.97, 11,640.67 and 4,898.47

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Solution

The fourth proportional to 8,435.97, 11,640.67 and 4,898.47 is: 6,759.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.97 : 11,640.67 = 4,898.47 : x
  2. Step 2: Convert to fraction form
    8,435.97/11,640.67 = 4,898.47/x
  3. Step 3: Cross multiply
    8,435.97x = 11,640.67 × 4,898.47
  4. Step 4: Simplify right side
    8,435.97x = 57,021,472.77
  5. Step 5: Solve for x
    x = 57,021,472.77/8,435.97
  6. Step 6: Final answer
    x = 6,759.33

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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.