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Finding the Fourth Proportional to 11,758.88, 16,224.72 and 6,788

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Solution

The fourth proportional to 11,758.88, 16,224.72 and 6,788 is: 9,365.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.88 : 16,224.72 = 6,788 : x
  2. Step 2: Convert to fraction form
    11,758.88/16,224.72 = 6,788/x
  3. Step 3: Cross multiply
    11,758.88x = 16,224.72 × 6,788
  4. Step 4: Simplify right side
    11,758.88x = 110,133,399.36
  5. Step 5: Solve for x
    x = 110,133,399.36/11,758.88
  6. Step 6: Final answer
    x = 9,365.98

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Why These Related Problems?

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