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Finding the Fourth Proportional to 11,753.60, 16,219.32 and 8,954.24

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Solution

The fourth proportional to 11,753.60, 16,219.32 and 8,954.24 is: 12,356.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.60 : 16,219.32 = 8,954.24 : x
  2. Step 2: Convert to fraction form
    11,753.60/16,219.32 = 8,954.24/x
  3. Step 3: Cross multiply
    11,753.60x = 16,219.32 × 8,954.24
  4. Step 4: Simplify right side
    11,753.60x = 145,231,683.92
  5. Step 5: Solve for x
    x = 145,231,683.92/11,753.60
  6. Step 6: Final answer
    x = 12,356.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.