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Finding the Fourth Proportional to 7,655.94, 11,477.43 and 3,276.54

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Solution

The fourth proportional to 7,655.94, 11,477.43 and 3,276.54 is: 4,912.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.94 : 11,477.43 = 3,276.54 : x
  2. Step 2: Convert to fraction form
    7,655.94/11,477.43 = 3,276.54/x
  3. Step 3: Cross multiply
    7,655.94x = 11,477.43 × 3,276.54
  4. Step 4: Simplify right side
    7,655.94x = 37,606,258.49
  5. Step 5: Solve for x
    x = 37,606,258.49/7,655.94
  6. Step 6: Final answer
    x = 4,912.04

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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.