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Finding the Fourth Proportional to 7,279.38, 10,046.16 and 4,294.50

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Solution

The fourth proportional to 7,279.38, 10,046.16 and 4,294.50 is: 5,926.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,279.38 : 10,046.16 = 4,294.50 : x
  2. Step 2: Convert to fraction form
    7,279.38/10,046.16 = 4,294.50/x
  3. Step 3: Cross multiply
    7,279.38x = 10,046.16 × 4,294.50
  4. Step 4: Simplify right side
    7,279.38x = 43,143,234.12
  5. Step 5: Solve for x
    x = 43,143,234.12/7,279.38
  6. Step 6: Final answer
    x = 5,926.77

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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.