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Finding the Fourth Proportional to 8,251, 12,345.50 and 5,790.62

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Solution

The fourth proportional to 8,251, 12,345.50 and 5,790.62 is: 8,664.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251 : 12,345.50 = 5,790.62 : x
  2. Step 2: Convert to fraction form
    8,251/12,345.50 = 5,790.62/x
  3. Step 3: Cross multiply
    8,251x = 12,345.50 × 5,790.62
  4. Step 4: Simplify right side
    8,251x = 71,488,099.21
  5. Step 5: Solve for x
    x = 71,488,099.21/8,251
  6. Step 6: Final answer
    x = 8,664.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.