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Finding the Fourth Proportional to 10,977.63, 16,468.16 and 3,580.37

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Solution

The fourth proportional to 10,977.63, 16,468.16 and 3,580.37 is: 5,371.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977.63 : 16,468.16 = 3,580.37 : x
  2. Step 2: Convert to fraction form
    10,977.63/16,468.16 = 3,580.37/x
  3. Step 3: Cross multiply
    10,977.63x = 16,468.16 × 3,580.37
  4. Step 4: Simplify right side
    10,977.63x = 58,962,005.78
  5. Step 5: Solve for x
    x = 58,962,005.78/10,977.63
  6. Step 6: Final answer
    x = 5,371.11

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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.