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Finding the Fourth Proportional to 6,789.32, 10,172.89 and 6,529.84

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Solution

The fourth proportional to 6,789.32, 10,172.89 and 6,529.84 is: 9,784.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789.32 : 10,172.89 = 6,529.84 : x
  2. Step 2: Convert to fraction form
    6,789.32/10,172.89 = 6,529.84/x
  3. Step 3: Cross multiply
    6,789.32x = 10,172.89 × 6,529.84
  4. Step 4: Simplify right side
    6,789.32x = 66,427,344.04
  5. Step 5: Solve for x
    x = 66,427,344.04/6,789.32
  6. Step 6: Final answer
    x = 9,784.09

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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.