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Finding the Fourth Proportional to 10,072.48, 13,865.52 and 8,738.32

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Solution

The fourth proportional to 10,072.48, 13,865.52 and 8,738.32 is: 12,028.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.48 : 13,865.52 = 8,738.32 : x
  2. Step 2: Convert to fraction form
    10,072.48/13,865.52 = 8,738.32/x
  3. Step 3: Cross multiply
    10,072.48x = 13,865.52 × 8,738.32
  4. Step 4: Simplify right side
    10,072.48x = 121,161,350.73
  5. Step 5: Solve for x
    x = 121,161,350.73/10,072.48
  6. Step 6: Final answer
    x = 12,028.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.