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Finding the Fourth Proportional to 7,706.90, 10,635.50 and 4,170.12

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Solution

The fourth proportional to 7,706.90, 10,635.50 and 4,170.12 is: 5,754.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.90 : 10,635.50 = 4,170.12 : x
  2. Step 2: Convert to fraction form
    7,706.90/10,635.50 = 4,170.12/x
  3. Step 3: Cross multiply
    7,706.90x = 10,635.50 × 4,170.12
  4. Step 4: Simplify right side
    7,706.90x = 44,351,311.26
  5. Step 5: Solve for x
    x = 44,351,311.26/7,706.90
  6. Step 6: Final answer
    x = 5,754.75

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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.