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Finding the Fourth Proportional to 7,451.85, 10,283.61 and 4,094.73

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Solution

The fourth proportional to 7,451.85, 10,283.61 and 4,094.73 is: 5,650.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,451.85 : 10,283.61 = 4,094.73 : x
  2. Step 2: Convert to fraction form
    7,451.85/10,283.61 = 4,094.73/x
  3. Step 3: Cross multiply
    7,451.85x = 10,283.61 × 4,094.73
  4. Step 4: Simplify right side
    7,451.85x = 42,108,606.38
  5. Step 5: Solve for x
    x = 42,108,606.38/7,451.85
  6. Step 6: Final answer
    x = 5,650.76

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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.