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Finding the Fourth Proportional to 11,441, 15,789.54 and 7,247.72

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Solution

The fourth proportional to 11,441, 15,789.54 and 7,247.72 is: 10,002.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,441 : 15,789.54 = 7,247.72 : x
  2. Step 2: Convert to fraction form
    11,441/15,789.54 = 7,247.72/x
  3. Step 3: Cross multiply
    11,441x = 15,789.54 × 7,247.72
  4. Step 4: Simplify right side
    11,441x = 114,438,164.85
  5. Step 5: Solve for x
    x = 114,438,164.85/11,441
  6. Step 6: Final answer
    x = 10,002.46

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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.