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Finding the Fourth Proportional to 7,706.28, 11,536.88 and 6,967.61

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Solution

The fourth proportional to 7,706.28, 11,536.88 and 6,967.61 is: 10,431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.28 : 11,536.88 = 6,967.61 : x
  2. Step 2: Convert to fraction form
    7,706.28/11,536.88 = 6,967.61/x
  3. Step 3: Cross multiply
    7,706.28x = 11,536.88 × 6,967.61
  4. Step 4: Simplify right side
    7,706.28x = 80,384,422.77
  5. Step 5: Solve for x
    x = 80,384,422.77/7,706.28
  6. Step 6: Final answer
    x = 10,431.03

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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.