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Finding the Fourth Proportional to 10,872.11, 16,289.93 and 6,490.82

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Solution

The fourth proportional to 10,872.11, 16,289.93 and 6,490.82 is: 9,725.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.11 : 16,289.93 = 6,490.82 : x
  2. Step 2: Convert to fraction form
    10,872.11/16,289.93 = 6,490.82/x
  3. Step 3: Cross multiply
    10,872.11x = 16,289.93 × 6,490.82
  4. Step 4: Simplify right side
    10,872.11x = 105,734,889.54
  5. Step 5: Solve for x
    x = 105,734,889.54/10,872.11
  6. Step 6: Final answer
    x = 9,725.34

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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.