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Finding the Fourth Proportional to 7,705.41, 10,630.86 and 6,286.65

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Solution

The fourth proportional to 7,705.41, 10,630.86 and 6,286.65 is: 8,673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.41 : 10,630.86 = 6,286.65 : x
  2. Step 2: Convert to fraction form
    7,705.41/10,630.86 = 6,286.65/x
  3. Step 3: Cross multiply
    7,705.41x = 10,630.86 × 6,286.65
  4. Step 4: Simplify right side
    7,705.41x = 66,832,467.94
  5. Step 5: Solve for x
    x = 66,832,467.94/7,705.41
  6. Step 6: Final answer
    x = 8,673.45

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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.