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Finding the Fourth Proportional to 7,867.96, 10,850.70 and 6,546.04

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Solution

The fourth proportional to 7,867.96, 10,850.70 and 6,546.04 is: 9,027.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.96 : 10,850.70 = 6,546.04 : x
  2. Step 2: Convert to fraction form
    7,867.96/10,850.70 = 6,546.04/x
  3. Step 3: Cross multiply
    7,867.96x = 10,850.70 × 6,546.04
  4. Step 4: Simplify right side
    7,867.96x = 71,029,116.23
  5. Step 5: Solve for x
    x = 71,029,116.23/7,867.96
  6. Step 6: Final answer
    x = 9,027.64

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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.