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Finding the Fourth Proportional to 12,083.70, 16,671.40 and 7,838.02

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Solution

The fourth proportional to 12,083.70, 16,671.40 and 7,838.02 is: 10,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.70 : 16,671.40 = 7,838.02 : x
  2. Step 2: Convert to fraction form
    12,083.70/16,671.40 = 7,838.02/x
  3. Step 3: Cross multiply
    12,083.70x = 16,671.40 × 7,838.02
  4. Step 4: Simplify right side
    12,083.70x = 130,670,766.63
  5. Step 5: Solve for x
    x = 130,670,766.63/12,083.70
  6. Step 6: Final answer
    x = 10,813.80

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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.