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Finding the Fourth Proportional to 7,450.64, 11,176 and 2,256.56

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Solution

The fourth proportional to 7,450.64, 11,176 and 2,256.56 is: 3,384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,450.64 : 11,176 = 2,256.56 : x
  2. Step 2: Convert to fraction form
    7,450.64/11,176 = 2,256.56/x
  3. Step 3: Cross multiply
    7,450.64x = 11,176 × 2,256.56
  4. Step 4: Simplify right side
    7,450.64x = 25,219,314.56
  5. Step 5: Solve for x
    x = 25,219,314.56/7,450.64
  6. Step 6: Final answer
    x = 3,384.85

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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.