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Finding the Fourth Proportional to 8,371.24, 11,552.42 and 4,834.60

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Solution

The fourth proportional to 8,371.24, 11,552.42 and 4,834.60 is: 6,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.24 : 11,552.42 = 4,834.60 : x
  2. Step 2: Convert to fraction form
    8,371.24/11,552.42 = 4,834.60/x
  3. Step 3: Cross multiply
    8,371.24x = 11,552.42 × 4,834.60
  4. Step 4: Simplify right side
    8,371.24x = 55,851,329.73
  5. Step 5: Solve for x
    x = 55,851,329.73/8,371.24
  6. Step 6: Final answer
    x = 6,671.81

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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.