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Finding the Fourth Proportional to 8,299.80, 12,431.25 and 4,781.52

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Solution

The fourth proportional to 8,299.80, 12,431.25 and 4,781.52 is: 7,161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.80 : 12,431.25 = 4,781.52 : x
  2. Step 2: Convert to fraction form
    8,299.80/12,431.25 = 4,781.52/x
  3. Step 3: Cross multiply
    8,299.80x = 12,431.25 × 4,781.52
  4. Step 4: Simplify right side
    8,299.80x = 59,440,270.50
  5. Step 5: Solve for x
    x = 59,440,270.50/8,299.80
  6. Step 6: Final answer
    x = 7,161.65

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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.