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Finding the Fourth Proportional to 8,105.45, 12,072.93 and 7,726.25

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Solution

The fourth proportional to 8,105.45, 12,072.93 and 7,726.25 is: 11,508.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.45 : 12,072.93 = 7,726.25 : x
  2. Step 2: Convert to fraction form
    8,105.45/12,072.93 = 7,726.25/x
  3. Step 3: Cross multiply
    8,105.45x = 12,072.93 × 7,726.25
  4. Step 4: Simplify right side
    8,105.45x = 93,278,475.41
  5. Step 5: Solve for x
    x = 93,278,475.41/8,105.45
  6. Step 6: Final answer
    x = 11,508.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.