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Finding the Fourth Proportional to 8,083.33, 12,128.10 and 3,156.46

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Solution

The fourth proportional to 8,083.33, 12,128.10 and 3,156.46 is: 4,735.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.33 : 12,128.10 = 3,156.46 : x
  2. Step 2: Convert to fraction form
    8,083.33/12,128.10 = 3,156.46/x
  3. Step 3: Cross multiply
    8,083.33x = 12,128.10 × 3,156.46
  4. Step 4: Simplify right side
    8,083.33x = 38,281,862.53
  5. Step 5: Solve for x
    x = 38,281,862.53/8,083.33
  6. Step 6: Final answer
    x = 4,735.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.