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Finding the Fourth Proportional to 27,892.10, 41,838.14 and 7,115.60

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Solution

The fourth proportional to 27,892.10, 41,838.14 and 7,115.60 is: 10,673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,892.10 : 41,838.14 = 7,115.60 : x
  2. Step 2: Convert to fraction form
    27,892.10/41,838.14 = 7,115.60/x
  3. Step 3: Cross multiply
    27,892.10x = 41,838.14 × 7,115.60
  4. Step 4: Simplify right side
    27,892.10x = 297,703,259.79
  5. Step 5: Solve for x
    x = 297,703,259.79/27,892.10
  6. Step 6: Final answer
    x = 10,673.39

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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.