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Finding the Fourth Proportional to 8,269.80, 12,404.70 and 8,160.45

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Solution

The fourth proportional to 8,269.80, 12,404.70 and 8,160.45 is: 12,240.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.80 : 12,404.70 = 8,160.45 : x
  2. Step 2: Convert to fraction form
    8,269.80/12,404.70 = 8,160.45/x
  3. Step 3: Cross multiply
    8,269.80x = 12,404.70 × 8,160.45
  4. Step 4: Simplify right side
    8,269.80x = 101,227,934.12
  5. Step 5: Solve for x
    x = 101,227,934.12/8,269.80
  6. Step 6: Final answer
    x = 12,240.68

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