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Finding the Fourth Proportional to 11,628.24, 16,047.36 and 6,917.28

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Solution

The fourth proportional to 11,628.24, 16,047.36 and 6,917.28 is: 9,546.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628.24 : 16,047.36 = 6,917.28 : x
  2. Step 2: Convert to fraction form
    11,628.24/16,047.36 = 6,917.28/x
  3. Step 3: Cross multiply
    11,628.24x = 16,047.36 × 6,917.28
  4. Step 4: Simplify right side
    11,628.24x = 111,004,082.38
  5. Step 5: Solve for x
    x = 111,004,082.38/11,628.24
  6. Step 6: Final answer
    x = 9,546.08

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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.