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Finding the Fourth Proportional to 7,234.62, 9,983.10 and 4,047.75

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Solution

The fourth proportional to 7,234.62, 9,983.10 and 4,047.75 is: 5,585.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.62 : 9,983.10 = 4,047.75 : x
  2. Step 2: Convert to fraction form
    7,234.62/9,983.10 = 4,047.75/x
  3. Step 3: Cross multiply
    7,234.62x = 9,983.10 × 4,047.75
  4. Step 4: Simplify right side
    7,234.62x = 40,409,093.03
  5. Step 5: Solve for x
    x = 40,409,093.03/7,234.62
  6. Step 6: Final answer
    x = 5,585.52

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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.