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Finding the Fourth Proportional to 8,072.29, 12,108.03 and 7,645.69

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Solution

The fourth proportional to 8,072.29, 12,108.03 and 7,645.69 is: 11,468.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.29 : 12,108.03 = 7,645.69 : x
  2. Step 2: Convert to fraction form
    8,072.29/12,108.03 = 7,645.69/x
  3. Step 3: Cross multiply
    8,072.29x = 12,108.03 × 7,645.69
  4. Step 4: Simplify right side
    8,072.29x = 92,574,243.89
  5. Step 5: Solve for x
    x = 92,574,243.89/8,072.29
  6. Step 6: Final answer
    x = 11,468.15

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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.