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Finding the Fourth Proportional to 10,872.96, 14,993.08 and 8,216.16

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Solution

The fourth proportional to 10,872.96, 14,993.08 and 8,216.16 is: 11,329.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.96 : 14,993.08 = 8,216.16 : x
  2. Step 2: Convert to fraction form
    10,872.96/14,993.08 = 8,216.16/x
  3. Step 3: Cross multiply
    10,872.96x = 14,993.08 × 8,216.16
  4. Step 4: Simplify right side
    10,872.96x = 123,185,544.17
  5. Step 5: Solve for x
    x = 123,185,544.17/10,872.96
  6. Step 6: Final answer
    x = 11,329.53

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