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Finding the Fourth Proportional to 10,959.42, 16,441.72 and 3,563.88

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Solution

The fourth proportional to 10,959.42, 16,441.72 and 3,563.88 is: 5,346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.42 : 16,441.72 = 3,563.88 : x
  2. Step 2: Convert to fraction form
    10,959.42/16,441.72 = 3,563.88/x
  3. Step 3: Cross multiply
    10,959.42x = 16,441.72 × 3,563.88
  4. Step 4: Simplify right side
    10,959.42x = 58,596,317.07
  5. Step 5: Solve for x
    x = 58,596,317.07/10,959.42
  6. Step 6: Final answer
    x = 5,346.66

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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.