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Finding the Fourth Proportional to 7,892.10, 11,837.88 and 2,048.58

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Solution

The fourth proportional to 7,892.10, 11,837.88 and 2,048.58 is: 3,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.10 : 11,837.88 = 2,048.58 : x
  2. Step 2: Convert to fraction form
    7,892.10/11,837.88 = 2,048.58/x
  3. Step 3: Cross multiply
    7,892.10x = 11,837.88 × 2,048.58
  4. Step 4: Simplify right side
    7,892.10x = 24,250,844.21
  5. Step 5: Solve for x
    x = 24,250,844.21/7,892.10
  6. Step 6: Final answer
    x = 3,072.80

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Why These Related Problems?

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