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Finding the Fourth Proportional to 7,706.98, 10,635.64 and 4,170.19

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Solution

The fourth proportional to 7,706.98, 10,635.64 and 4,170.19 is: 5,754.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.98 : 10,635.64 = 4,170.19 : x
  2. Step 2: Convert to fraction form
    7,706.98/10,635.64 = 4,170.19/x
  3. Step 3: Cross multiply
    7,706.98x = 10,635.64 × 4,170.19
  4. Step 4: Simplify right side
    7,706.98x = 44,352,639.57
  5. Step 5: Solve for x
    x = 44,352,639.57/7,706.98
  6. Step 6: Final answer
    x = 5,754.87

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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.