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Finding the Fourth Proportional to 7,706.27, 10,624.06 and 4,872.23

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Solution

The fourth proportional to 7,706.27, 10,624.06 and 4,872.23 is: 6,716.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.27 : 10,624.06 = 4,872.23 : x
  2. Step 2: Convert to fraction form
    7,706.27/10,624.06 = 4,872.23/x
  3. Step 3: Cross multiply
    7,706.27x = 10,624.06 × 4,872.23
  4. Step 4: Simplify right side
    7,706.27x = 51,762,842.20
  5. Step 5: Solve for x
    x = 51,762,842.20/7,706.27
  6. Step 6: Final answer
    x = 6,716.98

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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.