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Finding the Fourth Proportional to 7,650.98, 11,478.28 and 2,385.73

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Solution

The fourth proportional to 7,650.98, 11,478.28 and 2,385.73 is: 3,579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.98 : 11,478.28 = 2,385.73 : x
  2. Step 2: Convert to fraction form
    7,650.98/11,478.28 = 2,385.73/x
  3. Step 3: Cross multiply
    7,650.98x = 11,478.28 × 2,385.73
  4. Step 4: Simplify right side
    7,650.98x = 27,384,076.94
  5. Step 5: Solve for x
    x = 27,384,076.94/7,650.98
  6. Step 6: Final answer
    x = 3,579.16

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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.