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Finding the Fourth Proportional to 7,706.82, 10,641.33 and 6,388.14

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Solution

The fourth proportional to 7,706.82, 10,641.33 and 6,388.14 is: 8,820.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.82 : 10,641.33 = 6,388.14 : x
  2. Step 2: Convert to fraction form
    7,706.82/10,641.33 = 6,388.14/x
  3. Step 3: Cross multiply
    7,706.82x = 10,641.33 × 6,388.14
  4. Step 4: Simplify right side
    7,706.82x = 67,978,305.83
  5. Step 5: Solve for x
    x = 67,978,305.83/7,706.82
  6. Step 6: Final answer
    x = 8,820.54

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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.