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Finding the Fourth Proportional to 8,013.66, 12,014.73 and 3,628.86

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Solution

The fourth proportional to 8,013.66, 12,014.73 and 3,628.86 is: 5,440.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013.66 : 12,014.73 = 3,628.86 : x
  2. Step 2: Convert to fraction form
    8,013.66/12,014.73 = 3,628.86/x
  3. Step 3: Cross multiply
    8,013.66x = 12,014.73 × 3,628.86
  4. Step 4: Simplify right side
    8,013.66x = 43,599,773.11
  5. Step 5: Solve for x
    x = 43,599,773.11/8,013.66
  6. Step 6: Final answer
    x = 5,440.68

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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.