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Finding the Fourth Proportional to 11,828.88, 17,744.22 and 6,899.01

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Solution

The fourth proportional to 11,828.88, 17,744.22 and 6,899.01 is: 10,349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.88 : 17,744.22 = 6,899.01 : x
  2. Step 2: Convert to fraction form
    11,828.88/17,744.22 = 6,899.01/x
  3. Step 3: Cross multiply
    11,828.88x = 17,744.22 × 6,899.01
  4. Step 4: Simplify right side
    11,828.88x = 122,417,551.22
  5. Step 5: Solve for x
    x = 122,417,551.22/11,828.88
  6. Step 6: Final answer
    x = 10,349.04

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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.