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Finding the Fourth Proportional to 10,385.54, 15,578.32 and 8,227.70

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Solution

The fourth proportional to 10,385.54, 15,578.32 and 8,227.70 is: 12,341.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.54 : 15,578.32 = 8,227.70 : x
  2. Step 2: Convert to fraction form
    10,385.54/15,578.32 = 8,227.70/x
  3. Step 3: Cross multiply
    10,385.54x = 15,578.32 × 8,227.70
  4. Step 4: Simplify right side
    10,385.54x = 128,173,761.02
  5. Step 5: Solve for x
    x = 128,173,761.02/10,385.54
  6. Step 6: Final answer
    x = 12,341.56

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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.