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Finding the Fourth Proportional to 8,243, 12,333.50 and 5,782.62

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Solution

The fourth proportional to 8,243, 12,333.50 and 5,782.62 is: 8,652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243 : 12,333.50 = 5,782.62 : x
  2. Step 2: Convert to fraction form
    8,243/12,333.50 = 5,782.62/x
  3. Step 3: Cross multiply
    8,243x = 12,333.50 × 5,782.62
  4. Step 4: Simplify right side
    8,243x = 71,319,943.77
  5. Step 5: Solve for x
    x = 71,319,943.77/8,243
  6. Step 6: Final answer
    x = 8,652.18

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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.