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Finding the Fourth Proportional to 7,311.48, 10,094.45 and 5,629.73

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Solution

The fourth proportional to 7,311.48, 10,094.45 and 5,629.73 is: 7,772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.48 : 10,094.45 = 5,629.73 : x
  2. Step 2: Convert to fraction form
    7,311.48/10,094.45 = 5,629.73/x
  3. Step 3: Cross multiply
    7,311.48x = 10,094.45 × 5,629.73
  4. Step 4: Simplify right side
    7,311.48x = 56,828,949.38
  5. Step 5: Solve for x
    x = 56,828,949.38/7,311.48
  6. Step 6: Final answer
    x = 7,772.56

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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.