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Finding the Fourth Proportional to 10,083.80, 15,128.78 and 5,156.90

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Solution

The fourth proportional to 10,083.80, 15,128.78 and 5,156.90 is: 7,736.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.80 : 15,128.78 = 5,156.90 : x
  2. Step 2: Convert to fraction form
    10,083.80/15,128.78 = 5,156.90/x
  3. Step 3: Cross multiply
    10,083.80x = 15,128.78 × 5,156.90
  4. Step 4: Simplify right side
    10,083.80x = 78,017,605.58
  5. Step 5: Solve for x
    x = 78,017,605.58/10,083.80
  6. Step 6: Final answer
    x = 7,736.93

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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.