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Finding the Fourth Proportional to 7,706.88, 10,635.50 and 4,170.08

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Solution

The fourth proportional to 7,706.88, 10,635.50 and 4,170.08 is: 5,754.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.88 : 10,635.50 = 4,170.08 : x
  2. Step 2: Convert to fraction form
    7,706.88/10,635.50 = 4,170.08/x
  3. Step 3: Cross multiply
    7,706.88x = 10,635.50 × 4,170.08
  4. Step 4: Simplify right side
    7,706.88x = 44,350,922.85
  5. Step 5: Solve for x
    x = 44,350,922.85/7,706.88
  6. Step 6: Final answer
    x = 5,754.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.