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Finding the Fourth Proportional to 7,650.56, 11,477.49 and 2,385.46

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Solution

The fourth proportional to 7,650.56, 11,477.49 and 2,385.46 is: 3,578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.56 : 11,477.49 = 2,385.46 : x
  2. Step 2: Convert to fraction form
    7,650.56/11,477.49 = 2,385.46/x
  3. Step 3: Cross multiply
    7,650.56x = 11,477.49 × 2,385.46
  4. Step 4: Simplify right side
    7,650.56x = 27,379,098.70
  5. Step 5: Solve for x
    x = 27,379,098.70/7,650.56
  6. Step 6: Final answer
    x = 3,578.70

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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.