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Finding the Fourth Proportional to 7,706.97, 10,635.58 and 4,170.11

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Solution

The fourth proportional to 7,706.97, 10,635.58 and 4,170.11 is: 5,754.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.97 : 10,635.58 = 4,170.11 : x
  2. Step 2: Convert to fraction form
    7,706.97/10,635.58 = 4,170.11/x
  3. Step 3: Cross multiply
    7,706.97x = 10,635.58 × 4,170.11
  4. Step 4: Simplify right side
    7,706.97x = 44,351,538.51
  5. Step 5: Solve for x
    x = 44,351,538.51/7,706.97
  6. Step 6: Final answer
    x = 5,754.73

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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.