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Finding the Fourth Proportional to 10,959.64, 16,431.08 and 3,559.60

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Solution

The fourth proportional to 10,959.64, 16,431.08 and 3,559.60 is: 5,336.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.64 : 16,431.08 = 3,559.60 : x
  2. Step 2: Convert to fraction form
    10,959.64/16,431.08 = 3,559.60/x
  3. Step 3: Cross multiply
    10,959.64x = 16,431.08 × 3,559.60
  4. Step 4: Simplify right side
    10,959.64x = 58,488,072.37
  5. Step 5: Solve for x
    x = 58,488,072.37/10,959.64
  6. Step 6: Final answer
    x = 5,336.68

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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.