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Finding the Fourth Proportional to 8,440.85, 12,664 and 4,057.73

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Solution

The fourth proportional to 8,440.85, 12,664 and 4,057.73 is: 6,087.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.85 : 12,664 = 4,057.73 : x
  2. Step 2: Convert to fraction form
    8,440.85/12,664 = 4,057.73/x
  3. Step 3: Cross multiply
    8,440.85x = 12,664 × 4,057.73
  4. Step 4: Simplify right side
    8,440.85x = 51,387,092.72
  5. Step 5: Solve for x
    x = 51,387,092.72/8,440.85
  6. Step 6: Final answer
    x = 6,087.91

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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.