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Finding the Fourth Proportional to 10,975.66, 16,461.77 and 3,580.08

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Solution

The fourth proportional to 10,975.66, 16,461.77 and 3,580.08 is: 5,369.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.66 : 16,461.77 = 3,580.08 : x
  2. Step 2: Convert to fraction form
    10,975.66/16,461.77 = 3,580.08/x
  3. Step 3: Cross multiply
    10,975.66x = 16,461.77 × 3,580.08
  4. Step 4: Simplify right side
    10,975.66x = 58,934,453.54
  5. Step 5: Solve for x
    x = 58,934,453.54/10,975.66
  6. Step 6: Final answer
    x = 5,369.56

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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.