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Finding the Fourth Proportional to 10,874.64, 16,313.04 and 3,477.24

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Solution

The fourth proportional to 10,874.64, 16,313.04 and 3,477.24 is: 5,216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.64 : 16,313.04 = 3,477.24 : x
  2. Step 2: Convert to fraction form
    10,874.64/16,313.04 = 3,477.24/x
  3. Step 3: Cross multiply
    10,874.64x = 16,313.04 × 3,477.24
  4. Step 4: Simplify right side
    10,874.64x = 56,724,355.21
  5. Step 5: Solve for x
    x = 56,724,355.21/10,874.64
  6. Step 6: Final answer
    x = 5,216.21

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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.