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Finding the Fourth Proportional to 8,371.40, 11,552.85 and 4,594.73

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Solution

The fourth proportional to 8,371.40, 11,552.85 and 4,594.73 is: 6,340.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.40 : 11,552.85 = 4,594.73 : x
  2. Step 2: Convert to fraction form
    8,371.40/11,552.85 = 4,594.73/x
  3. Step 3: Cross multiply
    8,371.40x = 11,552.85 × 4,594.73
  4. Step 4: Simplify right side
    8,371.40x = 53,082,181.64
  5. Step 5: Solve for x
    x = 53,082,181.64/8,371.40
  6. Step 6: Final answer
    x = 6,340.90

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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.