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Finding the Fourth Proportional to 10,816, 16,232.16 and 5,621.44

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Solution

The fourth proportional to 10,816, 16,232.16 and 5,621.44 is: 8,436.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,816 : 16,232.16 = 5,621.44 : x
  2. Step 2: Convert to fraction form
    10,816/16,232.16 = 5,621.44/x
  3. Step 3: Cross multiply
    10,816x = 16,232.16 × 5,621.44
  4. Step 4: Simplify right side
    10,816x = 91,248,113.51
  5. Step 5: Solve for x
    x = 91,248,113.51/10,816
  6. Step 6: Final answer
    x = 8,436.40

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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.