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Finding the Fourth Proportional to 11,260.48, 16,872.48 and 6,864.64

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Solution

The fourth proportional to 11,260.48, 16,872.48 and 6,864.64 is: 10,285.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,260.48 : 16,872.48 = 6,864.64 : x
  2. Step 2: Convert to fraction form
    11,260.48/16,872.48 = 6,864.64/x
  3. Step 3: Cross multiply
    11,260.48x = 16,872.48 × 6,864.64
  4. Step 4: Simplify right side
    11,260.48x = 115,823,501.11
  5. Step 5: Solve for x
    x = 115,823,501.11/11,260.48
  6. Step 6: Final answer
    x = 10,285.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.