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Finding the Fourth Proportional to 8,270.78, 12,388.34 and 3,881.66

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Solution

The fourth proportional to 8,270.78, 12,388.34 and 3,881.66 is: 5,814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.78 : 12,388.34 = 3,881.66 : x
  2. Step 2: Convert to fraction form
    8,270.78/12,388.34 = 3,881.66/x
  3. Step 3: Cross multiply
    8,270.78x = 12,388.34 × 3,881.66
  4. Step 4: Simplify right side
    8,270.78x = 48,087,271.61
  5. Step 5: Solve for x
    x = 48,087,271.61/8,270.78
  6. Step 6: Final answer
    x = 5,814.12

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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.