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Finding the Fourth Proportional to 11,635.50, 16,056.78 and 6,330.24

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Solution

The fourth proportional to 11,635.50, 16,056.78 and 6,330.24 is: 8,735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,635.50 : 16,056.78 = 6,330.24 : x
  2. Step 2: Convert to fraction form
    11,635.50/16,056.78 = 6,330.24/x
  3. Step 3: Cross multiply
    11,635.50x = 16,056.78 × 6,330.24
  4. Step 4: Simplify right side
    11,635.50x = 101,643,271.03
  5. Step 5: Solve for x
    x = 101,643,271.03/11,635.50
  6. Step 6: Final answer
    x = 8,735.62

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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.