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Finding the Fourth Proportional to 7,700.45, 11,555.25 and 3,257.88

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Solution

The fourth proportional to 7,700.45, 11,555.25 and 3,257.88 is: 4,888.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.45 : 11,555.25 = 3,257.88 : x
  2. Step 2: Convert to fraction form
    7,700.45/11,555.25 = 3,257.88/x
  3. Step 3: Cross multiply
    7,700.45x = 11,555.25 × 3,257.88
  4. Step 4: Simplify right side
    7,700.45x = 37,645,586.75
  5. Step 5: Solve for x
    x = 37,645,586.75/7,700.45
  6. Step 6: Final answer
    x = 4,888.75

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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.