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Finding the Fourth Proportional to 8,461.38, 12,678.99 and 3,780.66

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Solution

The fourth proportional to 8,461.38, 12,678.99 and 3,780.66 is: 5,665.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.38 : 12,678.99 = 3,780.66 : x
  2. Step 2: Convert to fraction form
    8,461.38/12,678.99 = 3,780.66/x
  3. Step 3: Cross multiply
    8,461.38x = 12,678.99 × 3,780.66
  4. Step 4: Simplify right side
    8,461.38x = 47,934,950.33
  5. Step 5: Solve for x
    x = 47,934,950.33/8,461.38
  6. Step 6: Final answer
    x = 5,665.15

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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.