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Finding the Fourth Proportional to 8,237, 12,324.50 and 5,776.62

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Solution

The fourth proportional to 8,237, 12,324.50 and 5,776.62 is: 8,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237 : 12,324.50 = 5,776.62 : x
  2. Step 2: Convert to fraction form
    8,237/12,324.50 = 5,776.62/x
  3. Step 3: Cross multiply
    8,237x = 12,324.50 × 5,776.62
  4. Step 4: Simplify right side
    8,237x = 71,193,953.19
  5. Step 5: Solve for x
    x = 71,193,953.19/8,237
  6. Step 6: Final answer
    x = 8,643.19

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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.