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Finding the Fourth Proportional to 11,980.10, 16,532.70 and 6,944.60

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Solution

The fourth proportional to 11,980.10, 16,532.70 and 6,944.60 is: 9,583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.10 : 16,532.70 = 6,944.60 : x
  2. Step 2: Convert to fraction form
    11,980.10/16,532.70 = 6,944.60/x
  3. Step 3: Cross multiply
    11,980.10x = 16,532.70 × 6,944.60
  4. Step 4: Simplify right side
    11,980.10x = 114,812,988.42
  5. Step 5: Solve for x
    x = 114,812,988.42/11,980.10
  6. Step 6: Final answer
    x = 9,583.64

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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.