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Finding the Fourth Proportional to 8,874.14, 12,245.91 and 5,094.65

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Solution

The fourth proportional to 8,874.14, 12,245.91 and 5,094.65 is: 7,030.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,874.14 : 12,245.91 = 5,094.65 : x
  2. Step 2: Convert to fraction form
    8,874.14/12,245.91 = 5,094.65/x
  3. Step 3: Cross multiply
    8,874.14x = 12,245.91 × 5,094.65
  4. Step 4: Simplify right side
    8,874.14x = 62,388,625.38
  5. Step 5: Solve for x
    x = 62,388,625.38/8,874.14
  6. Step 6: Final answer
    x = 7,030.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.