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Finding the Fourth Proportional to 10,105.44, 15,156 and 3,083.88

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Solution

The fourth proportional to 10,105.44, 15,156 and 3,083.88 is: 4,625.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.44 : 15,156 = 3,083.88 : x
  2. Step 2: Convert to fraction form
    10,105.44/15,156 = 3,083.88/x
  3. Step 3: Cross multiply
    10,105.44x = 15,156 × 3,083.88
  4. Step 4: Simplify right side
    10,105.44x = 46,739,285.28
  5. Step 5: Solve for x
    x = 46,739,285.28/10,105.44
  6. Step 6: Final answer
    x = 4,625.16

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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.